3042972424800 has 2880 divisors, whose sum is σ = 14495840206848. Its totient is φ = 602795520000.

The previous prime is 3042972424787. The next prime is 3042972424841. The reversal of 3042972424800 is 84242792403.

It is a happy number.

3042972424800 is a `hidden beast` number, since 3 + 0 + 42 + 97 + 2 + 42 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 15931792705 + ... + 15931792895.

Almost surely, 2^{3042972424800} is an apocalyptic number.

3042972424800 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 3042972424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247920103424).

3042972424800 is an abundant number, since it is smaller than the sum of its proper divisors (11452867782048).

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

3042972424800 is a wasteful number, since it uses less digits than its factorization.

3042972424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3042972424800 in words is "three trillion, forty-two billion, nine hundred seventy-two million, four hundred twenty-four thousand, eight hundred".