342933432072 has 128 divisors (see below), whose sum is σ = 1070029578240. Its totient is φ = 88978106880.

The previous prime is 342933432043. The next prime is 342933432097. The reversal of 342933432072 is 270234339243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632553 + ... + 1830599.

It is an arithmetic number, because the mean of its divisors is an integer number (8359606080).

Almost surely, 2^342933432072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342933432072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535014789120).

342933432072 is an abundant number, since it is smaller than the sum of its proper divisors (727096146168).

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

342933432072 is a wasteful number, since it uses less digits than its factorization.

342933432072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199011 (or 199007 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 42.

The spelling of 342933432072 in words is "three hundred forty-two billion, nine hundred thirty-three million, four hundred thirty-two thousand, seventy-two".