38094144 has 112 divisors (see below), whose sum is σ = 116531136. Its totient is φ = 10854400.

The previous prime is 38094137. The next prime is 38094163. The reversal of 38094144 is 44149083.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 35374 + ... + 36434.

Almost surely, 2^38094144 is an apocalyptic number.

38094144 is a gapful number since it is divisible by the number (34) 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 38094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58265568).

38094144 is an abundant number, since it is smaller than the sum of its proper divisors (78436992).

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

38094144 is a wasteful number, since it uses less digits than its factorization.

38094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38094144 is about 6172.0453660031. The cubic root of 38094144 is about 336.4749518994.

The spelling of 38094144 in words is "thirty-eight million, ninety-four thousand, one hundred forty-four".