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3479606768 = 241130764399
BaseRepresentation
bin1100111101100110…
…1001010111110000
322222111111100010202
43033121221113300
524111234404033
61333140014332
7152141112101
oct31731512760
98874440122
103479606768
111526169080
128113913a8
13435b79221
142501b03a8
1515572e8e8
hexcf6695f0

3479606768 has 40 divisors (see below), whose sum is σ = 7378694400. Its totient is φ = 1576463040.

The previous prime is 3479606747. The next prime is 3479606777. The reversal of 3479606768 is 8676069743.

It is a happy number.

It is a super-2 number, since 2×34796067682 = 24215326519822811648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21833 + ... + 86231.

It is an arithmetic number, because the mean of its divisors is an integer number (184467360).

Almost surely, 23479606768 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 3479606768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689347200).

3479606768 is an abundant number, since it is smaller than the sum of its proper divisors (3899087632).

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

3479606768 is a wasteful number, since it uses less digits than its factorization.

3479606768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64725 (or 64719 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 56.

The square root of 3479606768 is about 58988.1917675055. The cubic root of 3479606768 is about 1515.3398893936.

The spelling of 3479606768 in words is "three billion, four hundred seventy-nine million, six hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 307 614 1228 2456 3377 4912 6754 13508 27016 54032 64399 128798 257596 515192 708389 1030384 1416778 2833556 5667112 11334224 19770493 39540986 79081972 158163944 217475423 316327888 434950846 869901692 1739803384 3479606768