38538760 has 48 divisors (see below), whose sum is σ = 93911940. Its totient is φ = 14227200.

The previous prime is 38538743. The next prime is 38538769. The reversal of 38538760 is 6783583.

It can be written as a sum of positive squares in 6 ways, for example, as 9400356 + 29138404 = 3066^2 + 5398^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38538769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3910 + ... + 9610.

Almost surely, 2^38538760 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 38538760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46955970).

38538760 is an abundant number, since it is smaller than the sum of its proper divisors (55373180).

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

38538760 is a wasteful number, since it uses less digits than its factorization.

38538760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 38538760 is about 6207.9594070838. The cubic root of 38538760 is about 337.7789481659.

The spelling of 38538760 in words is "thirty-eight million, five hundred thirty-eight thousand, seven hundred sixty".