38716668349632 has 2520 divisors, whose sum is σ = 152650398320640. Its totient is φ = 9655731671040.

The previous prime is 38716668349627. The next prime is 38716668349649. The reversal of 38716668349632 is 23694386661783.

38716668349632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 62547121419 + ... + 62547122037.

Almost surely, 2^{38716668349632} is an apocalyptic number.

38716668349632 is a gapful number since it is divisible by the number (32) 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 38716668349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76325199160320).

38716668349632 is an abundant number, since it is smaller than the sum of its proper divisors (113933729971008).

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

38716668349632 is a wasteful number, since it uses less digits than its factorization.

38716668349632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 722 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 38716668349632 in words is "thirty-eight trillion, seven hundred sixteen billion, six hundred sixty-eight million, three hundred forty-nine thousand, six hundred thirty-two".