38693168640 has 1600 divisors, whose sum is σ = 176821539840. Its totient is φ = 7882997760.

The previous prime is 38693168623. The next prime is 38693168681. The reversal of 38693168640 is 4686139683.

It is a super-2 number, since 2×38693168640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 634314210 + ... + 634314270.

Almost surely, 2^38693168640 is an apocalyptic number.

38693168640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38693168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88410769920).

38693168640 is an abundant number, since it is smaller than the sum of its proper divisors (138128371200).

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

38693168640 is a wasteful number, since it uses less digits than its factorization.

38693168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 38693168640 in words is "thirty-eight billion, six hundred ninety-three million, one hundred sixty-eight thousand, six hundred forty".