38701872 has 120 divisors (see below), whose sum is σ = 120648528. Its totient is φ = 11481600.

The previous prime is 38701829. The next prime is 38701907. The reversal of 38701872 is 27810783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83722 + ... + 84182.

Almost surely, 2^38701872 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 38701872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60324264).

38701872 is an abundant number, since it is smaller than the sum of its proper divisors (81946656).

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

38701872 is a wasteful number, since it uses less digits than its factorization.

38701872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 38701872 is about 6221.0828639394. The cubic root of 38701872 is about 338.2548175904.

The spelling of 38701872 in words is "thirty-eight million, seven hundred one thousand, eight hundred seventy-two".