38504960 has 120 divisors (see below), whose sum is σ = 101092860. Its totient is φ = 14057472.

The previous prime is 38504959. The next prime is 38505031. The reversal of 38504960 is 6940583.

It can be written as a sum of positive squares in 6 ways, for example, as 952576 + 37552384 = 976^2 + 6128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38504960.

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, 432596 + ... + 432684.

Almost surely, 2^38504960 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 38504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50546430).

38504960 is an abundant number, since it is smaller than the sum of its proper divisors (62587900).

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

38504960 is an equidigital number, since it uses as much as digits as its factorization.

38504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 38504960 is about 6205.2364983133. The cubic root of 38504960 is about 337.6801708330.

The spelling of 38504960 in words is "thirty-eight million, five hundred four thousand, nine hundred sixty".