342553779321600 has 3888 divisors, whose sum is σ = 1532826775807488. Its totient is φ = 65819787264000.

The previous prime is 342553779321557. The next prime is 342553779321613. The reversal of 342553779321600 is 6123977355243.

It is a super-2 number, since 2×342553779321600² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 359447826724 + ... + 359447827676.

Almost surely, 2^{342553779321600} is an apocalyptic number.

342553779321600 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 342553779321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766413387903744).

342553779321600 is an abundant number, since it is smaller than the sum of its proper divisors (1190272996485888).

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

342553779321600 is a wasteful number, since it uses less digits than its factorization.

342553779321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 57.

The spelling of 342553779321600 in words is "three hundred forty-two trillion, five hundred fifty-three billion, seven hundred seventy-nine million, three hundred twenty-one thousand, six hundred".