36878976 has 80 divisors (see below), whose sum is σ = 109782090. Its totient is φ = 12289536.

The previous prime is 36878957. The next prime is 36878983. The reversal of 36878976 is 67987863.

It can be written as a sum of positive squares in only one way, i.e., 35712576 + 1166400 = 5976^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8590 + ... + 12146.

Almost surely, 2^36878976 is an apocalyptic number.

36878976 is a gapful number since it is divisible by the number (36) 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 36878976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54891045).

36878976 is an abundant number, since it is smaller than the sum of its proper divisors (72903114).

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

36878976 is an equidigital number, since it uses as much as digits as its factorization.

36878976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3562 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 36878976 is about 6072.8062705803. The cubic root of 36878976 is about 332.8584740695.

The spelling of 36878976 in words is "thirty-six million, eight hundred seventy-eight thousand, nine hundred seventy-six".