38493120 has 112 divisors (see below), whose sum is σ = 123736608. Its totient is φ = 10137600.

The previous prime is 38493097. The next prime is 38493157. The reversal of 38493120 is 2139483.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96762 + ... + 97158.

Almost surely, 2^38493120 is an apocalyptic number.

38493120 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 38493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61868304).

38493120 is an abundant number, since it is smaller than the sum of its proper divisors (85243488).

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

38493120 is a wasteful number, since it uses less digits than its factorization.

38493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 38493120 is about 6204.2823920257. The cubic root of 38493120 is about 337.6455558718.

The spelling of 38493120 in words is "thirty-eight million, four hundred ninety-three thousand, one hundred twenty".