36400060944 has 135 divisors (see below), whose sum is σ = 110398786797. Its totient is φ = 11190860928.

The previous prime is 36400060937. The next prime is 36400060973. The reversal of 36400060944 is 44906000463.

The square root of 36400060944 is 190788.

It is a perfect power (a square), and thus also a powerful number.

36400060944 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 0 + 0 + 609 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5384624400 + 31015436544 = 73380^2 + 176112^2 .

It is a super-2 number, since 2×36400060944² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36400060899 and 36400060908.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29762317 + ... + 29763539.

Almost surely, 2^36400060944 is an apocalyptic number.

36400060944 is the 190788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36400060944

36400060944 is an abundant number, since it is smaller than the sum of its proper divisors (73998725853).

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

36400060944 is a wasteful number, since it uses less digits than its factorization.

36400060944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 36400060944 by its sum of digits (36), we get a square (1310402193984 = 1144728²).

36400060944 divided by its sum of digits (36) gives a square (1011112804 = 31798²).

The spelling of 36400060944 in words is "thirty-six billion, four hundred million, sixty thousand, nine hundred forty-four".