3074907992400 has 480 divisors, whose sum is σ = 11305699722240. Its totient is φ = 792944640000.

The previous prime is 3074907992399. The next prime is 3074907992417. The reversal of 3074907992400 is 42997094703.

It is a happy number.

3074907992400 is a `hidden beast` number, since 307 + 4 + 9 + 0 + 7 + 99 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 640470000 + ... + 640474800.

It is an arithmetic number, because the mean of its divisors is an integer number (23553541088).

Almost surely, 2^{3074907992400} is an apocalyptic number.

3074907992400 is a gapful number since it is divisible by the number (30) 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 3074907992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652849861120).

3074907992400 is an abundant number, since it is smaller than the sum of its proper divisors (8230791729840).

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

3074907992400 is a wasteful number, since it uses less digits than its factorization.

3074907992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3074907992400 in words is "three trillion, seventy-four billion, nine hundred seven million, nine hundred ninety-two thousand, four hundred".