342731532528 has 2000 divisors, whose sum is σ = 1452425610240. Its totient is φ = 76814438400.

The previous prime is 342731532431. The next prime is 342731532553. The reversal of 342731532528 is 825235137243.

It is a happy number.

342731532528 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 315 + 325 + 2 + 8 = 666.

Its product of digits (1209600) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 11055855873 + ... + 11055855903.

Almost surely, 2^342731532528 is an apocalyptic number.

342731532528 is a gapful number since it is divisible by the number (38) 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 342731532528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726212805120).

342731532528 is an abundant number, since it is smaller than the sum of its proper divisors (1109694077712).

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

342731532528 is a wasteful number, since it uses less digits than its factorization.

342731532528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 342731532528 in words is "three hundred forty-two billion, seven hundred thirty-one million, five hundred thirty-two thousand, five hundred twenty-eight".