36736400 has 30 divisors (see below), whose sum is σ = 88260162. Its totient is φ = 14694400.

The previous prime is 36736393. The next prime is 36736421. The reversal of 36736400 is 463763.

It can be written as a sum of positive squares in 3 ways, for example, as 6310144 + 30426256 = 2512^2 + 5516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45521 + ... + 46320.

Almost surely, 2^36736400 is an apocalyptic number.

It is an amenable number.

36736400 is an abundant number, since it is smaller than the sum of its proper divisors (51523762).

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

36736400 is a wasteful number, since it uses less digits than its factorization.

36736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91859 (or 91848 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 36736400 is about 6061.0560136003. The cubic root of 36736400 is about 332.4289708265.

The spelling of 36736400 in words is "thirty-six million, seven hundred thirty-six thousand, four hundred".