38886912 has 160 divisors (see below), whose sum is σ = 120304800. Its totient is φ = 12386304.

The previous prime is 38886893. The next prime is 38886923. The reversal of 38886912 is 21968883.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400848 + ... + 400944.

It is an arithmetic number, because the mean of its divisors is an integer number (751905).

Almost surely, 2^38886912 is an apocalyptic number.

38886912 is a gapful number since it is divisible by the number (32) 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 38886912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60152400).

38886912 is an abundant number, since it is smaller than the sum of its proper divisors (81417888).

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

38886912 is an equidigital number, since it uses as much as digits as its factorization.

38886912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 38886912 is about 6235.9371388750. The cubic root of 38886912 is about 338.7930446429.

It can be divided in two parts, 3888 and 6912, that multiplied together give a 4-th power (26873856 = 72⁴).

The spelling of 38886912 in words is "thirty-eight million, eight hundred eighty-six thousand, nine hundred twelve".