38504032 has 96 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 15303168.

The previous prime is 38504017. The next prime is 38504033. The reversal of 38504032 is 23040583.

It is a junction number, because it is equal to n+sod(n) for n = 38503988 and 38504006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38504033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353194 + ... + 353302.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 2^38504032 is an apocalyptic number.

38504032 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 38504032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

38504032 is an abundant number, since it is smaller than the sum of its proper divisors (54635168).

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

38504032 is a wasteful number, since it uses less digits than its factorization.

38504032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 38504032 is about 6205.1617223083. The cubic root of 38504032 is about 337.6774580248.

The spelling of 38504032 in words is "thirty-eight million, five hundred four thousand, thirty-two".