3632125640 has 128 divisors (see below), whose sum is σ = 9697605120. Its totient is φ = 1206912000.

The previous prime is 3632125631. The next prime is 3632125663. The reversal of 3632125640 is 465212363.

It is a junction number, because it is equal to n+sod(n) for n = 3632125597 and 3632125606.

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, 574577 + ... + 580863.

It is an arithmetic number, because the mean of its divisors is an integer number (75762540).

Almost surely, 2^3632125640 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 3632125640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848802560).

3632125640 is an abundant number, since it is smaller than the sum of its proper divisors (6065479480).

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

3632125640 is a wasteful number, since it uses less digits than its factorization.

3632125640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 3632125640 is about 60267.1190617239. The cubic root of 3632125640 is about 1537.1642930655.

The spelling of 3632125640 in words is "three billion, six hundred thirty-two million, one hundred twenty-five thousand, six hundred forty".