3432538368 has 432 divisors, whose sum is σ = 12053059200. Its totient is φ = 918650880.

The previous prime is 3432538349. The next prime is 3432538379. The reversal of 3432538368 is 8638352343.

3432538368 is a `hidden beast` number, since 34 + 3 + 253 + 8 + 368 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19176103 + ... + 19176281.

It is an arithmetic number, because the mean of its divisors is an integer number (27900600).

Almost surely, 2^3432538368 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 3432538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026529600).

3432538368 is an abundant number, since it is smaller than the sum of its proper divisors (8620520832).

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

3432538368 is a wasteful number, since it uses less digits than its factorization.

3432538368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3432538368 is about 58587.8687784425. The cubic root of 3432538368 is about 1508.4762149667.

The spelling of 3432538368 in words is "three billion, four hundred thirty-two million, five hundred thirty-eight thousand, three hundred sixty-eight".