38788672 has 56 divisors (see below), whose sum is σ = 86538816. Its totient is φ = 17115648.

The previous prime is 38788663. The next prime is 38788693. The reversal of 38788672 is 27688783.

38788672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38788672² = 3009122151047168, which contains 22 as substring.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18123 + ... + 20149.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^38788672 is an apocalyptic number.

38788672 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 38788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43269408).

38788672 is an abundant number, since it is smaller than the sum of its proper divisors (47750144).

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

38788672 is a wasteful number, since it uses less digits than its factorization.

38788672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2065 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The square root of 38788672 is about 6228.0552341802. The cubic root of 38788672 is about 338.5075064500.

The spelling of 38788672 in words is "thirty-eight million, seven hundred eighty-eight thousand, six hundred seventy-two".