36876400 has 180 divisors, whose sum is σ = 106209720. Its totient is φ = 12185600.

The previous prime is 36876347. The next prime is 36876401. The reversal of 36876400 is 467863.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36876401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1271586 + ... + 1271614.

It is an arithmetic number, because the mean of its divisors is an integer number (590054).

Almost surely, 2^36876400 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 36876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53104860).

36876400 is an abundant number, since it is smaller than the sum of its proper divisors (69333320).

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

36876400 is a wasteful number, since it uses less digits than its factorization.

36876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 36876400 is about 6072.5941738272. The cubic root of 36876400 is about 332.8507238236.

The spelling of 36876400 in words is "thirty-six million, eight hundred seventy-six thousand, four hundred".