38738960 has 60 divisors (see below), whose sum is σ = 97501572. Its totient is φ = 14229504.

The previous prime is 38738939. The next prime is 38738977. The reversal of 38738960 is 6983783.

It can be written as a sum of positive squares in 6 ways, for example, as 10137856 + 28601104 = 3184^2 + 5348^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200624 + ... + 200816.

Almost surely, 2^38738960 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 38738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48750786).

38738960 is an abundant number, since it is smaller than the sum of its proper divisors (58762612).

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

38738960 is a wasteful number, since it uses less digits than its factorization.

38738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 38738960 is about 6224.0629816865. The cubic root of 38738960 is about 338.3628329465.

The spelling of 38738960 in words is "thirty-eight million, seven hundred thirty-eight thousand, nine hundred sixty".