38042872 has 64 divisors (see below), whose sum is σ = 87480000. Its totient is φ = 15138816.

The previous prime is 38042861. The next prime is 38042891. The reversal of 38042872 is 27824083.

38042872 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 2×38042872² = 2894520220016768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 84504 + ... + 84952.

It is an arithmetic number, because the mean of its divisors is an integer number (1366875).

Almost surely, 2^38042872 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 38042872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43740000).

38042872 is an abundant number, since it is smaller than the sum of its proper divisors (49437128).

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

38042872 is a wasteful number, since it uses less digits than its factorization.

38042872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 38042872 is about 6167.8904011015. The cubic root of 38042872 is about 336.3239270298.

The spelling of 38042872 in words is "thirty-eight million, forty-two thousand, eight hundred seventy-two".