36938720 has 192 divisors, whose sum is σ = 111767040. Its totient is φ = 11225088.

The previous prime is 36938719. The next prime is 36938723. The reversal of 36938720 is 2783963.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36938723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626051 + ... + 626109.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 2^36938720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

36938720 is an abundant number, since it is smaller than the sum of its proper divisors (74828320).

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

36938720 is a wasteful number, since it uses less digits than its factorization.

36938720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 36938720 is about 6077.7232579314. The cubic root of 36938720 is about 333.0381208482.

The spelling of 36938720 in words is "thirty-six million, nine hundred thirty-eight thousand, seven hundred twenty".