3682633900 has 72 divisors (see below), whose sum is σ = 8770438656. Its totient is φ = 1331054400.

The previous prime is 3682633897. The next prime is 3682633921. The reversal of 3682633900 is 93362863.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173677 + ... + 193723.

It is an arithmetic number, because the mean of its divisors is an integer number (121811648).

Almost surely, 2^3682633900 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 3682633900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385219328).

3682633900 is an abundant number, since it is smaller than the sum of its proper divisors (5087804756).

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

3682633900 is a wasteful number, since it uses less digits than its factorization.

3682633900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20239 (or 20232 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 3682633900 is about 60684.7089471475. The cubic root of 3682633900 is about 1544.2567757101.

The spelling of 3682633900 in words is "three billion, six hundred eighty-two million, six hundred thirty-three thousand, nine hundred".