3479516352 has 140 divisors (see below), whose sum is σ = 11108005216. Its totient is φ = 1070599680.

The previous prime is 3479516351. The next prime is 3479516423. The reversal of 3479516352 is 2536159743.

3479516352 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 5 + 1 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3479516298 and 3479516307.

It is not an unprimeable number, because it can be changed into a prime (3479516351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41577 + ... + 93207.

Almost surely, 2^3479516352 is an apocalyptic number.

3479516352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3479516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554002608).

3479516352 is an abundant number, since it is smaller than the sum of its proper divisors (7628488864).

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

3479516352 is a wasteful number, since it uses less digits than its factorization.

3479516352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51668 (or 51649 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 3479516352 is about 58987.4253718536. The cubic root of 3479516352 is about 1515.3267641406.

The spelling of 3479516352 in words is "three billion, four hundred seventy-nine million, five hundred sixteen thousand, three hundred fifty-two".