342842572800 has 1728 divisors, whose sum is σ = 1559599046460. Its totient is φ = 71345111040.

The previous prime is 342842572799. The next prime is 342842572921. The reversal of 342842572800 is 8275248243.

342842572800 is a `hidden beast` number, since 3 + 42 + 84 + 257 + 280 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 73705734144 + 269136838656 = 271488^2 + 518784^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4696473564 + ... + 4696473636.

Almost surely, 2^342842572800 is an apocalyptic number.

342842572800 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 342842572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779799523230).

342842572800 is an abundant number, since it is smaller than the sum of its proper divisors (1216756473660).

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

342842572800 is a wasteful number, since it uses less digits than its factorization.

342842572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 342842572800 in words is "three hundred forty-two billion, eight hundred forty-two million, five hundred seventy-two thousand, eight hundred".