38401872 has 40 divisors (see below), whose sum is σ = 100145376. Its totient is φ = 12679296.

The previous prime is 38401849. The next prime is 38401873. The reversal of 38401872 is 27810483.

38401872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401873) by changing a digit.

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, 1398 + ... + 8874.

Almost surely, 2^38401872 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 38401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50072688).

38401872 is an abundant number, since it is smaller than the sum of its proper divisors (61743504).

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

38401872 is a wasteful number, since it uses less digits than its factorization.

38401872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 38401872 is about 6196.9243984415. The cubic root of 38401872 is about 337.3785483439.

The spelling of 38401872 in words is "thirty-eight million, four hundred one thousand, eight hundred seventy-two".