36813952 has 64 divisors (see below), whose sum is σ = 84651840. Its totient is φ = 15621120.

The previous prime is 36813949. The next prime is 36813967. The reversal of 36813952 is 25931863.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162063 + ... + 162289.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^36813952 is an apocalyptic number.

36813952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42325920).

36813952 is an abundant number, since it is smaller than the sum of its proper divisors (47837888).

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

36813952 is a wasteful number, since it uses less digits than its factorization.

36813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 36813952 is about 6067.4502058113. The cubic root of 36813952 is about 332.6627300005.

The spelling of 36813952 in words is "thirty-six million, eight hundred thirteen thousand, nine hundred fifty-two".