3474866304 has 640 divisors, whose sum is σ = 13270118400. Its totient is φ = 877879296.

The previous prime is 3474866299. The next prime is 3474866321. The reversal of 3474866304 is 4036684743.

3474866304 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 8 + 6 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3474866304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27361089 + ... + 27361215.

It is an arithmetic number, because the mean of its divisors is an integer number (20734560).

Almost surely, 2^3474866304 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 3474866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635059200).

3474866304 is an abundant number, since it is smaller than the sum of its proper divisors (9795252096).

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

3474866304 is a wasteful number, since it uses less digits than its factorization.

3474866304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3474866304 is about 58947.9966071791. The cubic root of 3474866304 is about 1514.6514324054.

The spelling of 3474866304 in words is "three billion, four hundred seventy-four million, eight hundred sixty-six thousand, three hundred four".