36338832 has 60 divisors (see below), whose sum is σ = 102112140. Its totient is φ = 12063744.

The previous prime is 36338831. The next prime is 36338837. The reversal of 36338832 is 23883363.

It can be written as a sum of positive squares in 2 ways, for example, as 15872256 + 20466576 = 3984^2 + 4524^2 .

It is a super-2 number, since 2×36338832² = 2641021422248448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36338831) by changing a digit.

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, 58588 + ... + 59204.

It is an arithmetic number, because the mean of its divisors is an integer number (1701869).

Almost surely, 2^36338832 is an apocalyptic number.

It is an amenable number.

36338832 is an abundant number, since it is smaller than the sum of its proper divisors (65773308).

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

36338832 is a wasteful number, since it uses less digits than its factorization.

36338832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1031 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 36338832 is about 6028.1698715282. The cubic root of 36338832 is about 331.2254163790.

The spelling of 36338832 in words is "thirty-six million, three hundred thirty-eight thousand, eight hundred thirty-two".