3042104222400 has 1008 divisors, whose sum is σ = 11081731411296. Its totient is φ = 727984373760.

The previous prime is 3042104222387. The next prime is 3042104222539. The reversal of 3042104222400 is 42224012403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6656682972 + ... + 6656683428.

It is an arithmetic number, because the mean of its divisors is an integer number (10993781162).

Almost surely, 2^{3042104222400} is an apocalyptic number.

3042104222400 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 3042104222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540865705648).

3042104222400 is an abundant number, since it is smaller than the sum of its proper divisors (8039627188896).

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

3042104222400 is a wasteful number, since it uses less digits than its factorization.

3042104222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 3042104222400 its reverse (42224012403), we get a palindrome (3084328234803).

The spelling of 3042104222400 in words is "three trillion, forty-two billion, one hundred four million, two hundred twenty-two thousand, four hundred".