38914176 has 128 divisors (see below), whose sum is σ = 122204160. Its totient is φ = 10736640.

The previous prime is 38914153. The next prime is 38914193. The reversal of 38914176 is 67141983.

It is a tau number, because it is divible by the number of its divisors (128).

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, 83095 + ... + 83561.

It is an arithmetic number, because the mean of its divisors is an integer number (954720).

Almost surely, 2^38914176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38914176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61102080).

38914176 is an abundant number, since it is smaller than the sum of its proper divisors (83289984).

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

38914176 is a wasteful number, since it uses less digits than its factorization.

38914176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 38914176 is about 6238.1227945593. The cubic root of 38914176 is about 338.8722032017.

The spelling of 38914176 in words is "thirty-eight million, nine hundred fourteen thousand, one hundred seventy-six".