3368774304 has 432 divisors, whose sum is σ = 11858228928. Its totient is φ = 902651904.

The previous prime is 3368774257. The next prime is 3368774329. The reversal of 3368774304 is 4034778633.

3368774304 is a `hidden beast` number, since 336 + 8 + 7 + 7 + 4 + 304 = 666.

It is a super-2 number, since 2×3368774304² = 22697280622581368832, 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 3368774304.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31483819 + ... + 31483925.

It is an arithmetic number, because the mean of its divisors is an integer number (27449604).

Almost surely, 2^3368774304 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 3368774304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929114464).

3368774304 is an abundant number, since it is smaller than the sum of its proper divisors (8489454624).

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

3368774304 is a wasteful number, since it uses less digits than its factorization.

3368774304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3368774304 is about 58041.1432003195. The cubic root of 3368774304 is about 1499.0771069621.

The spelling of 3368774304 in words is "three billion, three hundred sixty-eight million, seven hundred seventy-four thousand, three hundred four".