36640038400 has 480 divisors, whose sum is σ = 109600128000. Its totient is φ = 11873648640.

The previous prime is 36640038397. The next prime is 36640038469. The reversal of 36640038400 is 483004663.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153305481 + ... + 153305719.

It is an arithmetic number, because the mean of its divisors is an integer number (228333600).

Almost surely, 2^36640038400 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 36640038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800064000).

36640038400 is an abundant number, since it is smaller than the sum of its proper divisors (72960089600).

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

36640038400 is a wasteful number, since it uses less digits than its factorization.

36640038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 36640038400 in words is "thirty-six billion, six hundred forty million, thirty-eight thousand, four hundred".