3432059135232 has 864 divisors, whose sum is σ = 12244692539520. Its totient is φ = 843321507840.

The previous prime is 3432059135227. The next prime is 3432059135243. The reversal of 3432059135232 is 2325319502343.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566998318 + ... + 567004370.

Almost surely, 2^{3432059135232} is an apocalyptic number.

3432059135232 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 3432059135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122346269760).

3432059135232 is an abundant number, since it is smaller than the sum of its proper divisors (8812633404288).

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

3432059135232 is a wasteful number, since it uses less digits than its factorization.

3432059135232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 3432059135232 in words is "three trillion, four hundred thirty-two billion, fifty-nine million, one hundred thirty-five thousand, two hundred thirty-two".