36438506900 has 18 divisors (see below), whose sum is σ = 79071560190. Its totient is φ = 14575402720.

The previous prime is 36438506827. The next prime is 36438506903. The reversal of 36438506900 is 960583463.

It can be written as a sum of positive squares in 3 ways, for example, as 491863684 + 35946643216 = 22178^2 + 189596^2 .

It is a super-2 number, since 2×36438506900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36438506903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182192435 + ... + 182192634.

It is an arithmetic number, because the mean of its divisors is an integer number (4392864455).

Almost surely, 2^36438506900 is an apocalyptic number.

It is an amenable number.

36438506900 is an abundant number, since it is smaller than the sum of its proper divisors (42633053290).

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

36438506900 is a wasteful number, since it uses less digits than its factorization.

36438506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364385083 (or 364385076 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 36438506900 in words is "thirty-six billion, four hundred thirty-eight million, five hundred six thousand, nine hundred".