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3490637568 = 283111014091
BaseRepresentation
bin1101000000001110…
…1110011100000000
3100000021020202112220
43100003232130000
524122100400233
61334212251040
7152333633625
oct32003563400
910007222486
103490637568
111531412740
12815010a80
1343823c022
1425184234c
151566aceb3
hexd00ee700

3490637568 has 144 divisors (see below), whose sum is σ = 10237594752. Its totient is φ = 1047040000.

The previous prime is 3490637551. The next prime is 3490637593. The reversal of 3490637568 is 8657360943.

It is a super-2 number, since 2×34906375682 = 24369101262265909248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3490637568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851203 + ... + 855293.

It is an arithmetic number, because the mean of its divisors is an integer number (71094408).

Almost surely, 23490637568 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 3490637568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118797376).

3490637568 is an abundant number, since it is smaller than the sum of its proper divisors (6746957184).

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

3490637568 is a wasteful number, since it uses less digits than its factorization.

3490637568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 3490637568 is about 59081.6178519174. The cubic root of 3490637568 is about 1516.9394742582.

The spelling of 3490637568 in words is "three billion, four hundred ninety million, six hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 256 264 303 352 384 404 528 606 704 768 808 1056 1111 1212 1408 1616 2112 2222 2424 2816 3232 3333 4091 4224 4444 4848 6464 6666 8182 8448 8888 9696 12273 12928 13332 16364 17776 19392 24546 25856 26664 32728 35552 38784 45001 49092 53328 65456 71104 77568 90002 98184 106656 130912 135003 142208 180004 196368 213312 261824 270006 284416 360008 392736 413191 426624 523648 540012 720016 785472 826382 853248 1047296 1080024 1239573 1440032 1570944 1652764 2160048 2479146 2880064 3141888 3305528 4320096 4545101 4958292 5760128 6611056 8640192 9090202 9916584 11520256 13222112 13635303 17280384 18180404 19833168 26444224 27270606 34560768 36360808 39666336 52888448 54541212 72721616 79332672 105776896 109082424 145443232 158665344 218164848 290886464 317330688 436329696 581772928 872659392 1163545856 1745318784 3490637568