38401635665744 has 20 divisors (see below), whose sum is σ = 80126489802996. Its totient is φ = 17723831845632.

The previous prime is 38401635665741. The next prime is 38401635665791. The reversal of 38401635665744 is 44756653610483.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25791040366144 + 12610595299600 = 5078488^2 + 3551140^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401635665741) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92311623989 + ... + 92311624404.

Almost surely, 2^{38401635665744} is an apocalyptic number.

It is an amenable number.

38401635665744 is an abundant number, since it is smaller than the sum of its proper divisors (41724854137252).

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

38401635665744 is a wasteful number, since it uses less digits than its factorization.

38401635665744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184623248414 (or 184623248408 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 62.

The spelling of 38401635665744 in words is "thirty-eight trillion, four hundred one billion, six hundred thirty-five million, six hundred sixty-five thousand, seven hundred forty-four".