38977344 has 126 divisors (see below), whose sum is σ = 130055874. Its totient is φ = 11128320.

The previous prime is 38977343. The next prime is 38977349. The reversal of 38977344 is 44377983.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 6350400 = 5712^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 38977344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38977343) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27534 + ... + 28914.

Almost surely, 2^38977344 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 38977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65027937).

38977344 is an abundant number, since it is smaller than the sum of its proper divisors (91078530).

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

38977344 is a wasteful number, since it uses less digits than its factorization.

38977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1393 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 38977344 is about 6243.1838031568. The cubic root of 38977344 is about 339.0554638151.

The spelling of 38977344 in words is "thirty-eight million, nine hundred seventy-seven thousand, three hundred forty-four".