3374642304 has 256 divisors, whose sum is σ = 11243664000. Its totient is φ = 987033600.

The previous prime is 3374642267. The next prime is 3374642329. The reversal of 3374642304 is 4032464733.

3374642304 is a `hidden beast` number, since 3 + 3 + 7 + 4 + 642 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×3374642304² = 22776421359892856832, 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 31 ways as a sum of consecutive naturals, for example, 1100934 + ... + 1103994.

Almost surely, 2^3374642304 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 3374642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621832000).

3374642304 is an abundant number, since it is smaller than the sum of its proper divisors (7869021696).

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

3374642304 is a wasteful number, since it uses less digits than its factorization.

3374642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The square root of 3374642304 is about 58091.6715545353. The cubic root of 3374642304 is about 1499.9470061278.

The spelling of 3374642304 in words is "three billion, three hundred seventy-four million, six hundred forty-two thousand, three hundred four".