38757960 has 128 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 9722880.

The previous prime is 38757947. The next prime is 38757991. The reversal of 38757960 is 6975783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17305 + ... + 19415.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 2^38757960 is an apocalyptic number.

38757960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38757960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

38757960 is an abundant number, since it is smaller than the sum of its proper divisors (98099640).

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

38757960 is a wasteful number, since it uses less digits than its factorization.

38757960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 38757960 is about 6225.5891287492. The cubic root of 38757960 is about 338.4181419779.

The spelling of 38757960 in words is "thirty-eight million, seven hundred fifty-seven thousand, nine hundred sixty".