36940800 has 264 divisors, whose sum is σ = 135036496. Its totient is φ = 8847360.

The previous prime is 36940793. The next prime is 36940819. The reversal of 36940800 is 804963.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998382 + ... + 998418.

Almost surely, 2^36940800 is an apocalyptic number.

36940800 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 36940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67518248).

36940800 is an abundant number, since it is smaller than the sum of its proper divisors (98095696).

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

36940800 is a wasteful number, since it uses less digits than its factorization.

36940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 36940800 is about 6077.8943722312. The cubic root of 36940800 is about 333.0443717983.

The spelling of 36940800 in words is "thirty-six million, nine hundred forty thousand, eight hundred".