38882560 has 72 divisors (see below), whose sum is σ = 95769576. Its totient is φ = 15114240.

The previous prime is 38882551. The next prime is 38882573. The reversal of 38882560 is 6528883.

It can be written as a sum of positive squares in 4 ways, for example, as 6801664 + 32080896 = 2608^2 + 5664^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46950 + ... + 47770.

It is an arithmetic number, because the mean of its divisors is an integer number (1330133).

Almost surely, 2^38882560 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 38882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47884788).

38882560 is an abundant number, since it is smaller than the sum of its proper divisors (56887016).

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

38882560 is an equidigital number, since it uses as much as digits as its factorization.

38882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 38882560 is about 6235.5881839647. The cubic root of 38882560 is about 338.7804055804.

The spelling of 38882560 in words is "thirty-eight million, eight hundred eighty-two thousand, five hundred sixty".