38947200768 has 648 divisors, whose sum is σ = 140070577920. Its totient is φ = 10346434560.

The previous prime is 38947200763. The next prime is 38947200779. The reversal of 38947200768 is 86700274983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38947200763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143716473 + ... + 143716743.

Almost surely, 2^38947200768 is an apocalyptic number.

38947200768 is a gapful number since it is divisible by the number (38) 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 38947200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70035288960).

38947200768 is an abundant number, since it is smaller than the sum of its proper divisors (101123377152).

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

38947200768 is a wasteful number, since it uses less digits than its factorization.

38947200768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 38947200768 in words is "thirty-eight billion, nine hundred forty-seven million, two hundred thousand, seven hundred sixty-eight".