36800412 has 48 divisors (see below), whose sum is σ = 94886400. Its totient is φ = 11007360.

The previous prime is 36800383. The next prime is 36800417. The reversal of 36800412 is 21400863.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36800417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8664 + ... + 12192.

It is an arithmetic number, because the mean of its divisors is an integer number (1976800).

Almost surely, 2^36800412 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 36800412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47443200).

36800412 is an abundant number, since it is smaller than the sum of its proper divisors (58085988).

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

36800412 is a wasteful number, since it uses less digits than its factorization.

36800412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 36800412 is about 6066.3343132406. The cubic root of 36800412 is about 332.6219410654.

The spelling of 36800412 in words is "thirty-six million, eight hundred thousand, four hundred twelve".