36879200 has 36 divisors (see below), whose sum is σ = 90033300. Its totient is φ = 14751360.

The previous prime is 36879187. The next prime is 36879203. The reversal of 36879200 is 297863.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36879203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22250 + ... + 23849.

It is an arithmetic number, because the mean of its divisors is an integer number (2500925).

Almost surely, 2^36879200 is an apocalyptic number.

It is an amenable number.

36879200 is an abundant number, since it is smaller than the sum of its proper divisors (53154100).

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

36879200 is a wasteful number, since it uses less digits than its factorization.

36879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46119 (or 46106 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 36879200 is about 6072.8247134262. The cubic root of 36879200 is about 332.8591479869.

The spelling of 36879200 in words is "thirty-six million, eight hundred seventy-nine thousand, two hundred".