36750800 has 60 divisors (see below), whose sum is σ = 89488320. Its totient is φ = 14501760.

The previous prime is 36750799. The next prime is 36750809. The reversal of 36750800 is 805763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36750809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31019 + ... + 32181.

It is an arithmetic number, because the mean of its divisors is an integer number (1491472).

Almost surely, 2^36750800 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 36750800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44744160).

36750800 is an abundant number, since it is smaller than the sum of its proper divisors (52737520).

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

36750800 is a wasteful number, since it uses less digits than its factorization.

36750800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 36750800 is about 6062.2438090199. The cubic root of 36750800 is about 332.4724005207.

The spelling of 36750800 in words is "thirty-six million, seven hundred fifty thousand, eight hundred".