38130912 has 120 divisors (see below), whose sum is σ = 114893856. Its totient is φ = 12400128.

The previous prime is 38130901. The next prime is 38130913. The reversal of 38130912 is 21903183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38130913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121668 + ... + 121980.

Almost surely, 2^38130912 is an apocalyptic number.

38130912 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 38130912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57446928).

38130912 is an abundant number, since it is smaller than the sum of its proper divisors (76762944).

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

38130912 is a wasteful number, since it uses less digits than its factorization.

38130912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 38130912 is about 6175.0232388227. The cubic root of 38130912 is about 336.5831709203.

The spelling of 38130912 in words is "thirty-eight million, one hundred thirty thousand, nine hundred twelve".