3479024304 has 320 divisors, whose sum is σ = 11892096000. Its totient is φ = 973050624.

The previous prime is 3479024287. The next prime is 3479024359. The reversal of 3479024304 is 4034209743.

3479024304 is a `hidden beast` number, since 347 + 9 + 0 + 2 + 4 + 304 = 666.

It is a super-2 number, since 2×3479024304² = 24207220215645368832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7853107 + ... + 7853549.

It is an arithmetic number, because the mean of its divisors is an integer number (37162800).

Almost surely, 2^3479024304 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 3479024304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946048000).

3479024304 is an abundant number, since it is smaller than the sum of its proper divisors (8413071696).

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

3479024304 is a wasteful number, since it uses less digits than its factorization.

3479024304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3479024304 is about 58983.2544371706. The cubic root of 3479024304 is about 1515.2553319282.

The spelling of 3479024304 in words is "three billion, four hundred seventy-nine million, twenty-four thousand, three hundred four".