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3685020912 = 2433171513323
BaseRepresentation
bin1101101110100100…
…1111010011110000
3100111211000110101000
43123221033103300
530021331132122
61405354442000
7160214106126
oct33351172360
910454013330
103685020912
111621109831
1286a133300
134695aa961
1426d5a1916
151687a80ac
hexdba4f4f0

3685020912 has 160 divisors (see below), whose sum is σ = 11277135360. Its totient is φ = 1148083200.

The previous prime is 3685020901. The next prime is 3685020917. The reversal of 3685020912 is 2190205863.

3685020912 is a `hidden beast` number, since 3 + 68 + 502 + 0 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685020917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107283 + ... + 1110605.

It is an arithmetic number, because the mean of its divisors is an integer number (70482096).

Almost surely, 23685020912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3685020912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638567680).

3685020912 is an abundant number, since it is smaller than the sum of its proper divisors (7592114448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3685020912 is a wasteful number, since it uses less digits than its factorization.

3685020912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3685020912 is about 60704.3730879415. The cubic root of 3685020912 is about 1544.5903560957.

The spelling of 3685020912 in words is "three billion, six hundred eighty-five million, twenty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 151 153 204 216 272 302 306 408 432 453 459 604 612 816 906 918 1208 1224 1359 1812 1836 2416 2448 2567 2718 3323 3624 3672 4077 5134 5436 6646 7248 7344 7701 8154 9969 10268 10872 13292 15402 16308 19938 20536 21744 23103 26584 29907 30804 32616 39876 41072 46206 53168 56491 59814 61608 65232 69309 79752 89721 92412 112982 119628 123216 138618 159504 169473 179442 184824 225964 239256 277236 338946 358884 369648 451928 478512 501773 508419 554472 677892 717768 903856 1003546 1016838 1108944 1355784 1435536 1505319 1525257 2007092 2033676 2711568 3010638 3050514 4014184 4067352 4515957 6021276 6101028 8028368 8134704 8530141 9031914 12042552 12202056 13547871 17060282 18063828 24085104 24404112 25590423 27095742 34120564 36127656 51180846 54191484 68241128 72255312 76771269 102361692 108382968 136482256 153542538 204723384 216765936 230313807 307085076 409446768 460627614 614170152 921255228 1228340304 1842510456 3685020912