38876544 has 128 divisors (see below), whose sum is σ = 131212800. Its totient is φ = 11100672.

The previous prime is 38876543. The next prime is 38876557. The reversal of 38876544 is 44567883.

38876544 is a `hidden beast` number, since 38 + 8 + 76 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×38876544² = 3022771346767872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38876544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38876543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23389 + ... + 24995.

It is an arithmetic number, because the mean of its divisors is an integer number (1025100).

Almost surely, 2^38876544 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 38876544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65606400).

38876544 is an abundant number, since it is smaller than the sum of its proper divisors (92336256).

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

38876544 is a wasteful number, since it uses less digits than its factorization.

38876544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1619 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 38876544 is about 6235.1057729601. The cubic root of 38876544 is about 338.7629323821.

The spelling of 38876544 in words is "thirty-eight million, eight hundred seventy-six thousand, five hundred forty-four".