38130432 has 72 divisors (see below), whose sum is σ = 102527040. Its totient is φ = 12579840.

The previous prime is 38130419. The next prime is 38130457. The reversal of 38130432 is 23403183.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100419 + ... + 100797.

Almost surely, 2^38130432 is an apocalyptic number.

38130432 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 38130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51263520).

38130432 is an abundant number, since it is smaller than the sum of its proper divisors (64396608).

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

38130432 is a wasteful number, since it uses less digits than its factorization.

38130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 38130432 is about 6174.9843724499. The cubic root of 38130432 is about 336.5817585876.

The spelling of 38130432 in words is "thirty-eight million, one hundred thirty thousand, four hundred thirty-two".