36938016 has 36 divisors (see below), whose sum is σ = 105043302. Its totient is φ = 12312576.

The previous prime is 36938003. The next prime is 36938039. The reversal of 36938016 is 61083963.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22467600 + 14470416 = 4740^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 63841 + ... + 64416.

Almost surely, 2^36938016 is an apocalyptic number.

36938016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36938016 is an abundant number, since it is smaller than the sum of its proper divisors (68105286).

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

36938016 is a wasteful number, since it uses less digits than its factorization.

36938016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128273 (or 128262 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 36938016 is about 6077.6653412310. The cubic root of 36938016 is about 333.0360050888.

The spelling of 36938016 in words is "thirty-six million, nine hundred thirty-eight thousand, sixteen".