38394144 has 72 divisors (see below), whose sum is σ = 112972860. Its totient is φ = 12354048.

The previous prime is 38394127. The next prime is 38394299. The reversal of 38394144 is 44149383.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 2250000 = 6012^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×38394144² = 2948220586985472, which contains 22 as substring.

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.

It is a junction number, because it is equal to n+sod(n) for n = 38394099 and 38394108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6054 + ... + 10650.

Almost surely, 2^38394144 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 38394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56486430).

38394144 is an abundant number, since it is smaller than the sum of its proper divisors (74578716).

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

38394144 is a wasteful number, since it uses less digits than its factorization.

38394144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4631 counting only the distinct ones).

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

The square root of 38394144 is about 6196.3008319480. The cubic root of 38394144 is about 337.3559154513.

The spelling of 38394144 in words is "thirty-eight million, three hundred ninety-four thousand, one hundred forty-four".