38765408880 has 480 divisors, whose sum is σ = 139223089152. Its totient is φ = 8898785280.

The previous prime is 38765408849. The next prime is 38765408897. The reversal of 38765408880 is 8880456783.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38765408880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84825612 + ... + 84826068.

Almost surely, 2^38765408880 is an apocalyptic number.

38765408880 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 38765408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69611544576).

38765408880 is an abundant number, since it is smaller than the sum of its proper divisors (100457680272).

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

38765408880 is a wasteful number, since it uses less digits than its factorization.

38765408880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 38765408880 in words is "thirty-eight billion, seven hundred sixty-five million, four hundred eight thousand, eight hundred eighty".