36961638 has 32 divisors (see below), whose sum is σ = 89455104. Its totient is φ = 9939072.

The previous prime is 36961637. The next prime is 36961679. The reversal of 36961638 is 83616963.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 36961638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36961637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25170 + ... + 26597.

It is an arithmetic number, because the mean of its divisors is an integer number (2795472).

Almost surely, 2^36961638 is an apocalyptic number.

36961638 is an abundant number, since it is smaller than the sum of its proper divisors (52493466).

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

36961638 is a wasteful number, since it uses less digits than its factorization.

36961638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51796.

The product of its digits is 139968, while the sum is 42.

The square root of 36961638 is about 6079.6083755453. The cubic root of 36961638 is about 333.1069825530.

The spelling of 36961638 in words is "thirty-six million, nine hundred sixty-one thousand, six hundred thirty-eight".