38964309269760 has 432 divisors, whose sum is σ = 154251008446080. Its totient is φ = 8895744000000.

The previous prime is 38964309269749. The next prime is 38964309269773. The reversal of 38964309269760 is 6796290346983.

38964309269760 is a `hidden beast` number, since 3 + 89 + 6 + 430 + 9 + 26 + 97 + 6 + 0 = 666.

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

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, 68988510 + ... + 69551010.

Almost surely, 2^{38964309269760} is an apocalyptic number.

38964309269760 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 38964309269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77125504223040).

38964309269760 is an abundant number, since it is smaller than the sum of its proper divisors (115286699176320).

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

38964309269760 is a wasteful number, since it uses less digits than its factorization.

38964309269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563394 (or 563377 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 38964309269760 in words is "thirty-eight trillion, nine hundred sixty-four billion, three hundred nine million, two hundred sixty-nine thousand, seven hundred sixty".