3629996832 has 432 divisors, whose sum is σ = 12665945376. Its totient is φ = 899942400.

The previous prime is 3629996803. The next prime is 3629996849. The reversal of 3629996832 is 2386999263.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49725948 + ... + 49726020.

It is an arithmetic number, because the mean of its divisors is an integer number (29319318).

Almost surely, 2^3629996832 is an apocalyptic number.

3629996832 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 3629996832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332972688).

3629996832 is an abundant number, since it is smaller than the sum of its proper divisors (9035948544).

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

3629996832 is a wasteful number, since it uses less digits than its factorization.

3629996832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 127 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 57.

The square root of 3629996832 is about 60249.4550348798. The cubic root of 3629996832 is about 1536.8639210073.

The spelling of 3629996832 in words is "three billion, six hundred twenty-nine million, nine hundred ninety-six thousand, eight hundred thirty-two".