38314944 has 140 divisors (see below), whose sum is σ = 119862600. Its totient is φ = 12068352.

The previous prime is 38314931. The next prime is 38314949. The reversal of 38314944 is 44941383.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (41472) is a multiple of the sum of its prime factors (432).

It is a junction number, because it is equal to n+sod(n) for n = 38314899 and 38314908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38314949) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98302 + ... + 98690.

Almost surely, 2^38314944 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 38314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59931300).

38314944 is an abundant number, since it is smaller than the sum of its proper divisors (81547656).

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

38314944 is a wasteful number, since it uses less digits than its factorization.

38314944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38314944 is about 6189.9066228821. The cubic root of 38314944 is about 337.1237881993.

The spelling of 38314944 in words is "thirty-eight million, three hundred fourteen thousand, nine hundred forty-four".