342304531632624 has 240 divisors, whose sum is σ = 1064648413452960. Its totient is φ = 94260513177600.

The previous prime is 342304531632619. The next prime is 342304531632631. The reversal of 342304531632624 is 426236135403243.

It is a super-2 number, since 2×342304531632624² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56910217 + ... + 62636904.

It is an arithmetic number, because the mean of its divisors is an integer number (4436035056054).

Almost surely, 2^{342304531632624} is an apocalyptic number.

342304531632624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

342304531632624 is an abundant number, since it is smaller than the sum of its proper divisors (722343881820336).

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

342304531632624 is a wasteful number, since it uses less digits than its factorization.

342304531632624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119547200 (or 119547183 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 48.

The spelling of 342304531632624 in words is "three hundred forty-two trillion, three hundred four billion, five hundred thirty-one million, six hundred thirty-two thousand, six hundred twenty-four".