36879400 has 48 divisors (see below), whose sum is σ = 86674140. Its totient is φ = 14592000.

The previous prime is 36879397. The next prime is 36879407. The reversal of 36879400 is 497863.

It can be written as a sum of positive squares in 6 ways, for example, as 4866436 + 32012964 = 2206^2 + 5658^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36879400.

It is not an unprimeable number, because it can be changed into a prime (36879407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18450 + ... + 20350.

Almost surely, 2^36879400 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 36879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43337070).

36879400 is an abundant number, since it is smaller than the sum of its proper divisors (49794740).

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

36879400 is a wasteful number, since it uses less digits than its factorization.

36879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 36879400 is about 6072.8411802055. The cubic root of 36879400 is about 332.8597496965.

The spelling of 36879400 in words is "thirty-six million, eight hundred seventy-nine thousand, four hundred".