38412032 has 36 divisors (see below), whose sum is σ = 77128296. Its totient is φ = 19092480.

The previous prime is 38411983. The next prime is 38412041. The reversal of 38412032 is 23021483.

It is a junction number, because it is equal to n+sod(n) for n = 38411989 and 38412007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57782 + ... + 58442.

Almost surely, 2^38412032 is an apocalyptic number.

38412032 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 38412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38564148).

38412032 is an abundant number, since it is smaller than the sum of its proper divisors (38716264).

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

38412032 is an equidigital number, since it uses as much as digits as its factorization.

38412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 38412032 is about 6197.7441057210. The cubic root of 38412032 is about 337.4082991835.

The spelling of 38412032 in words is "thirty-eight million, four hundred twelve thousand, thirty-two".