3631609152 has 84 divisors (see below), whose sum is σ = 10485560436. Its totient is φ = 1201674240.

The previous prime is 3631609147. The next prime is 3631609169. The reversal of 3631609152 is 2519061363.

3631609152 is a `hidden beast` number, since 3 + 6 + 31 + 609 + 15 + 2 = 666.

3631609152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3031163136 + 600446016 = 55056^2 + 24504^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55902 + ... + 101922.

Almost surely, 2^3631609152 is an apocalyptic number.

3631609152 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 3631609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242780218).

3631609152 is an abundant number, since it is smaller than the sum of its proper divisors (6853951284).

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

3631609152 is a wasteful number, since it uses less digits than its factorization.

3631609152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46176 (or 46163 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3631609152 is about 60262.8339194233. The cubic root of 3631609152 is about 1537.0914280616.

The spelling of 3631609152 in words is "three billion, six hundred thirty-one million, six hundred nine thousand, one hundred fifty-two".