38873520 has 200 divisors, whose sum is σ = 154481184. Its totient is φ = 8875008.

The previous prime is 38873503. The next prime is 38873521. The reversal of 38873520 is 2537883.

It is a super-2 number, since 2×38873520² = 3022301114380800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38873521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44932 + ... + 45788.

Almost surely, 2^38873520 is an apocalyptic number.

38873520 is a gapful number since it is divisible by the number (30) 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 38873520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77240592).

38873520 is an abundant number, since it is smaller than the sum of its proper divisors (115607664).

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

38873520 is a wasteful number, since it uses less digits than its factorization.

38873520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 38873520 is about 6234.8632703532. The cubic root of 38873520 is about 338.7541486309.

It can be divided in two parts, 38873 and 520, that added together give a palindrome (39393).

The spelling of 38873520 in words is "thirty-eight million, eight hundred seventy-three thousand, five hundred twenty".