3631383072 has 72 divisors (see below), whose sum is σ = 10372028940. Its totient is φ = 1205153280.

The previous prime is 3631383061. The next prime is 3631383089. The reversal of 3631383072 is 2703831363.

It is a happy number.

3631383072 is a `hidden beast` number, since 36 + 313 + 8 + 307 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3425058576 + 206324496 = 58524^2 + 14364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38422 + ... + 93482.

Almost surely, 2^3631383072 is an apocalyptic number.

3631383072 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 3631383072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186014470).

3631383072 is an abundant number, since it is smaller than the sum of its proper divisors (6740645868).

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

3631383072 is a wasteful number, since it uses less digits than its factorization.

3631383072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55306 (or 55295 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3631383072 is about 60260.9581072190. The cubic root of 3631383072 is about 1537.0595310130.

The spelling of 3631383072 in words is "three billion, six hundred thirty-one million, three hundred eighty-three thousand, seventy-two".