3042122400 has 144 divisors (see below), whose sum is σ = 11002420800. Its totient is φ = 811226880.

The previous prime is 3042122389. The next prime is 3042122429. The reversal of 3042122400 is 42212403.

3042122400 is a `hidden beast` number, since 3 + 0 + 421 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48820 + ... + 92019.

It is an arithmetic number, because the mean of its divisors is an integer number (76405700).

Almost surely, 2^3042122400 is an apocalyptic number.

3042122400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3042122400 is an abundant number, since it is smaller than the sum of its proper divisors (7960298400).

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

3042122400 is a wasteful number, since it uses less digits than its factorization.

3042122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140868 (or 140849 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3042122400 is about 55155.4385351073. The cubic root of 3042122400 is about 1448.9683347203.

Adding to 3042122400 its reverse (42212403), we get a palindrome (3084334803).

The spelling of 3042122400 in words is "three billion, forty-two million, one hundred twenty-two thousand, four hundred".