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3722285440 = 27519216111
BaseRepresentation
bin1101110111011101…
…1001000110000000
3100121102010200200201
43131313121012000
530110401113230
61413205254544
7161145622066
oct33567310600
910542120621
103722285440
111640151165
1287a704454
13474227383
14274502036
1516bbb95ca
hexdddd9180

3722285440 has 96 divisors (see below), whose sum is σ = 9392168160. Its totient is φ = 1410462720.

The previous prime is 3722285419. The next prime is 3722285467. The reversal of 3722285440 is 445822273.

3722285440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3722285440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222985 + ... + 239095.

It is an arithmetic number, because the mean of its divisors is an integer number (97835085).

Almost surely, 23722285440 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 3722285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696084080).

3722285440 is an abundant number, since it is smaller than the sum of its proper divisors (5669882720).

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

3722285440 is a wasteful number, since it uses less digits than its factorization.

3722285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16168 (or 16137 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The square root of 3722285440 is about 61010.5354836359. The cubic root of 3722285440 is about 1549.7794261221.

The spelling of 3722285440 in words is "three billion, seven hundred twenty-two million, two hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 361 380 608 640 722 760 1216 1444 1520 1805 2432 2888 3040 3610 5776 6080 7220 11552 12160 14440 16111 23104 28880 32222 46208 57760 64444 80555 115520 128888 161110 231040 257776 306109 322220 515552 612218 644440 1031104 1224436 1288880 1530545 2062208 2448872 2577760 3061090 4897744 5155520 5816071 6122180 9795488 10311040 11632142 12244360 19590976 23264284 24488720 29080355 39181952 46528568 48977440 58160710 93057136 97954880 116321420 186114272 195909760 232642840 372228544 465285680 744457088 930571360 1861142720 3722285440