3632861232 has 640 divisors, whose sum is σ = 14505738240. Its totient is φ = 839808000.

The previous prime is 3632861227. The next prime is 3632861249. The reversal of 3632861232 is 2321682363.

It is a happy number.

3632861232 is a `hidden beast` number, since 3 + 6 + 3 + 2 + 8 + 612 + 32 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13405257 + ... + 13405527.

It is an arithmetic number, because the mean of its divisors is an integer number (22665216).

Almost surely, 2^3632861232 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 3632861232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252869120).

3632861232 is an abundant number, since it is smaller than the sum of its proper divisors (10872877008).

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

3632861232 is a wasteful number, since it uses less digits than its factorization.

3632861232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3632861232 is about 60273.2215166901. The cubic root of 3632861232 is about 1537.2680568615.

The spelling of 3632861232 in words is "three billion, six hundred thirty-two million, eight hundred sixty-one thousand, two hundred thirty-two".