38846080 has 256 divisors, whose sum is σ = 123379200. Its totient is φ = 11354112.

The previous prime is 38846009. The next prime is 38846083. The reversal of 38846080 is 8064883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38846083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339506 + ... + 1339534.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^38846080 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 38846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

38846080 is an abundant number, since it is smaller than the sum of its proper divisors (84533120).

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

38846080 is a wasteful number, since it uses less digits than its factorization.

38846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 38846080 is about 6232.6623524783. The cubic root of 38846080 is about 338.6744233934.

The spelling of 38846080 in words is "thirty-eight million, eight hundred forty-six thousand, eighty".