36874920 has 64 divisors (see below), whose sum is σ = 111481920. Its totient is φ = 9757184.

The previous prime is 36874919. The next prime is 36874961. The reversal of 36874920 is 2947863.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15319 + ... + 17561.

It is an arithmetic number, because the mean of its divisors is an integer number (1741905).

Almost surely, 2^36874920 is an apocalyptic number.

36874920 is a gapful number since it is divisible by the number (30) 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 36874920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55740960).

36874920 is an abundant number, since it is smaller than the sum of its proper divisors (74607000).

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

36874920 is a wasteful number, since it uses less digits than its factorization.

36874920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 36874920 is about 6072.4723136462. The cubic root of 36874920 is about 332.8462708794.

The spelling of 36874920 in words is "thirty-six million, eight hundred seventy-four thousand, nine hundred twenty".