3632038272 has 256 divisors, whose sum is σ = 11104128000. Its totient is φ = 1168128000.

The previous prime is 3632038247. The next prime is 3632038303. The reversal of 3632038272 is 2728302363.

It is a happy number.

3632038272 is a `hidden beast` number, since 36 + 320 + 38 + 272 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14470147 + ... + 14470397.

It is an arithmetic number, because the mean of its divisors is an integer number (43375500).

Almost surely, 2^3632038272 is an apocalyptic number.

3632038272 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 3632038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064000).

3632038272 is an abundant number, since it is smaller than the sum of its proper divisors (7472089728).

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

3632038272 is a wasteful number, since it uses less digits than its factorization.

3632038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3632038272 is about 60266.3942176733. The cubic root of 3632038272 is about 1537.1519678635.

The spelling of 3632038272 in words is "three billion, six hundred thirty-two million, thirty-eight thousand, two hundred seventy-two".