3432540327072 has 96 divisors (see below), whose sum is σ = 9044579880000. Its totient is φ = 1139843647488.

The previous prime is 3432540327059. The next prime is 3432540327077. The reversal of 3432540327072 is 2707230452343.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3432540327077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240889804 + ... + 240904052.

It is an arithmetic number, because the mean of its divisors is an integer number (94214373750).

Almost surely, 2^{3432540327072} is an apocalyptic number.

3432540327072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3432540327072 is an abundant number, since it is smaller than the sum of its proper divisors (5612039552928).

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

3432540327072 is a wasteful number, since it uses less digits than its factorization.

3432540327072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23598 (or 23590 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 42.

The spelling of 3432540327072 in words is "three trillion, four hundred thirty-two billion, five hundred forty million, three hundred twenty-seven thousand, seventy-two".