36880800 has 216 divisors, whose sum is σ = 132991488. Its totient is φ = 8870400.

The previous prime is 36880777. The next prime is 36880813. The reversal of 36880800 is 808863.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290337 + ... + 290463.

Almost surely, 2^36880800 is an apocalyptic number.

36880800 is a gapful number since it is divisible by the number (30) 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 36880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

36880800 is an abundant number, since it is smaller than the sum of its proper divisors (96110688).

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

36880800 is a wasteful number, since it uses less digits than its factorization.

36880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 36880800 is about 6072.9564464106. The cubic root of 36880800 is about 332.8639616030.

The spelling of 36880800 in words is "thirty-six million, eight hundred eighty thousand, eight hundred".