36748900 has 36 divisors (see below), whose sum is σ = 84439908. Its totient is φ = 13834240.

The previous prime is 36748891. The next prime is 36748903. The reversal of 36748900 is 984763.

It can be written as a sum of positive squares in 6 ways, for example, as 1036324 + 35712576 = 1018^2 + 5976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36748900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36748903) 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, 9109 + ... + 12508.

It is an arithmetic number, because the mean of its divisors is an integer number (2345553).

Almost surely, 2^36748900 is an apocalyptic number.

It is an amenable number.

36748900 is an abundant number, since it is smaller than the sum of its proper divisors (47691008).

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

36748900 is a wasteful number, since it uses less digits than its factorization.

36748900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21648 (or 21641 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 36748900 is about 6062.0870993413. The cubic root of 36748900 is about 332.4666708636.

The spelling of 36748900 in words is "thirty-six million, seven hundred forty-eight thousand, nine hundred".