36985132800 has 1296 divisors, whose sum is σ = 170809067520. Its totient is φ = 7409664000.

The previous prime is 36985132757. The next prime is 36985132823. The reversal of 36985132800 is 823158963.

It is a happy number.

36985132800 is a `hidden beast` number, since 369 + 8 + 5 + 1 + 3 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137491066 + ... + 137491334.

It is an arithmetic number, because the mean of its divisors is an integer number (131797120).

Almost surely, 2^36985132800 is an apocalyptic number.

36985132800 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 36985132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85404533760).

36985132800 is an abundant number, since it is smaller than the sum of its proper divisors (133823934720).

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

36985132800 is a wasteful number, since it uses less digits than its factorization.

36985132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 36985132800 in words is "thirty-six billion, nine hundred eighty-five million, one hundred thirty-two thousand, eight hundred".