36880400 has 60 divisors (see below), whose sum is σ = 89384532. Its totient is φ = 14622720.

The previous prime is 36880397. The next prime is 36880427. The reversal of 36880400 is 408863.

It can be written as a sum of positive squares in 6 ways, for example, as 1263376 + 35617024 = 1124^2 + 5968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54464 + ... + 55136.

Almost surely, 2^36880400 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 36880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44692266).

36880400 is an abundant number, since it is smaller than the sum of its proper divisors (52504132).

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

36880400 is a wasteful number, since it uses less digits than its factorization.

36880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 36880400 is about 6072.9235134324. The cubic root of 36880400 is about 332.8627582120.

The spelling of 36880400 in words is "thirty-six million, eight hundred eighty thousand, four hundred".