38879360 has 64 divisors (see below), whose sum is σ = 100117080. Its totient is φ = 14352384.

The previous prime is 38879333. The next prime is 38879371. The reversal of 38879360 is 6397883.

It can be written as a sum of positive squares in 4 ways, for example, as 33825856 + 5053504 = 5816^2 + 2248^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 5984 + ... + 10656.

Almost surely, 2^38879360 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 38879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50058540).

38879360 is an abundant number, since it is smaller than the sum of its proper divisors (61237720).

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

38879360 is a wasteful number, since it uses less digits than its factorization.

38879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4693 counting only the distinct ones).

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

The square root of 38879360 is about 6235.3315870128. The cubic root of 38879360 is about 338.7711115504.

The spelling of 38879360 in words is "thirty-eight million, eight hundred seventy-nine thousand, three hundred sixty".