3432147264 has 168 divisors, whose sum is σ = 12108037760. Its totient is φ = 905167872.

The previous prime is 3432147259. The next prime is 3432147281. The reversal of 3432147264 is 4627412343.

3432147264 is a `hidden beast` number, since 34 + 321 + 47 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19677 + ... + 85155.

Almost surely, 2^3432147264 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 3432147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054018880).

3432147264 is an abundant number, since it is smaller than the sum of its proper divisors (8675890496).

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

3432147264 is a wasteful number, since it uses less digits than its factorization.

3432147264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65517 (or 65504 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3432147264 is about 58584.5309275409. The cubic root of 3432147264 is about 1508.4189207792.

The spelling of 3432147264 in words is "three billion, four hundred thirty-two million, one hundred forty-seven thousand, two hundred sixty-four".