3432193515072 has 224 divisors, whose sum is σ = 11539136931840. Its totient is φ = 979972508160.

The previous prime is 3432193515067. The next prime is 3432193515089. The reversal of 3432193515072 is 2705153912343.

3432193515072 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 1 + 93 + 51 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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, 18183163 + ... + 18370949.

It is an arithmetic number, because the mean of its divisors is an integer number (51514004160).

Almost surely, 2^{3432193515072} is an apocalyptic number.

3432193515072 is a gapful number since it is divisible by the number (32) 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 3432193515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769568465920).

3432193515072 is an abundant number, since it is smaller than the sum of its proper divisors (8106943416768).

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

3432193515072 is a wasteful number, since it uses less digits than its factorization.

3432193515072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189326 (or 189310 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 3432193515072 in words is "three trillion, four hundred thirty-two billion, one hundred ninety-three million, five hundred fifteen thousand, seventy-two".