38906080 has 48 divisors (see below), whose sum is σ = 93202704. Its totient is φ = 15344640.

The previous prime is 38906057. The next prime is 38906123. The reversal of 38906080 is 8060983.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10015 + ... + 13345.

It is an arithmetic number, because the mean of its divisors is an integer number (1941723).

Almost surely, 2^38906080 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 38906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46601352).

38906080 is an abundant number, since it is smaller than the sum of its proper divisors (54296624).

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

38906080 is a wasteful number, since it uses less digits than its factorization.

38906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 38906080 is about 6237.4738476406. The cubic root of 38906080 is about 338.8487010582.

The spelling of 38906080 in words is "thirty-eight million, nine hundred six thousand, eighty".