3232825344 has 408 divisors, whose sum is σ = 11450362560. Its totient is φ = 891813888.

The previous prime is 3232825339. The next prime is 3232825363. The reversal of 3232825344 is 4435282323.

3232825344 is a `hidden beast` number, since 3 + 232 + 82 + 5 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3232825299 and 3232825308.

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, 111476722 + ... + 111476750.

Almost surely, 2^3232825344 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 3232825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725181280).

3232825344 is an abundant number, since it is smaller than the sum of its proper divisors (8217537216).

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

3232825344 is an frugal number, since it uses more digits than its factorization.

3232825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 3232825344 is about 56857.9400259981. The cubic root of 3232825344 is about 1478.6342013857.

The spelling of 3232825344 in words is "three billion, two hundred thirty-two million, eight hundred twenty-five thousand, three hundred forty-four".