38337765680 has 80 divisors (see below), whose sum is σ = 92259496800. Its totient is φ = 14798192640.

The previous prime is 38337765677. The next prime is 38337765703. The reversal of 38337765680 is 8656773383.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5868656 + ... + 5875184.

It is an arithmetic number, because the mean of its divisors is an integer number (1153243710).

Almost surely, 2^38337765680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38337765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46129748400).

38337765680 is an abundant number, since it is smaller than the sum of its proper divisors (53921731120).

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

38337765680 is a wasteful number, since it uses less digits than its factorization.

38337765680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 38337765680 in words is "thirty-eight billion, three hundred thirty-seven million, seven hundred sixty-five thousand, six hundred eighty".