38893824 has 144 divisors (see below), whose sum is σ = 122149440. Its totient is φ = 12165120.

The previous prime is 38893819. The next prime is 38893831. The reversal of 38893824 is 42839883.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38893824.

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, 117339 + ... + 117669.

It is an arithmetic number, because the mean of its divisors is an integer number (848260).

Almost surely, 2^38893824 is an apocalyptic number.

38893824 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 38893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61074720).

38893824 is an abundant number, since it is smaller than the sum of its proper divisors (83255616).

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

38893824 is a wasteful number, since it uses less digits than its factorization.

38893824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 38893824 is about 6236.4913212479. The cubic root of 38893824 is about 338.8131165101.

The spelling of 38893824 in words is "thirty-eight million, eight hundred ninety-three thousand, eight hundred twenty-four".