3632131566 has 144 divisors (see below), whose sum is σ = 9956443536. Its totient is φ = 950164992.

The previous prime is 3632131469. The next prime is 3632131579. The reversal of 3632131566 is 6651312363.

3632131566 is a `hidden beast` number, since 3 + 63 + 2 + 1 + 31 + 566 = 666.

It is a super-2 number, since 2×3632131566² = 26384759425467224712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3632131566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 551505 + ... + 558051.

It is an arithmetic number, because the mean of its divisors is an integer number (69141969).

Almost surely, 2^3632131566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3632131566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978221768).

3632131566 is an abundant number, since it is smaller than the sum of its proper divisors (6324311970).

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

3632131566 is a wasteful number, since it uses less digits than its factorization.

3632131566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 6613 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 3632131566 is about 60267.1682261578. The cubic root of 3632131566 is about 1537.1651290526.

The spelling of 3632131566 in words is "three billion, six hundred thirty-two million, one hundred thirty-one thousand, five hundred sixty-six".