38504608480 has 144 divisors (see below), whose sum is σ = 101901602880. Its totient is φ = 13726562304.

The previous prime is 38504608469. The next prime is 38504608489. The reversal of 38504608480 is 8480640583.

38504608480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38504608480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38504608489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759609 + ... + 808711.

It is an arithmetic number, because the mean of its divisors is an integer number (707650020).

Almost surely, 2^38504608480 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 38504608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50950801440).

38504608480 is an abundant number, since it is smaller than the sum of its proper divisors (63396994400).

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

38504608480 is a wasteful number, since it uses less digits than its factorization.

38504608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49173 (or 49152 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 38504608480 in words is "thirty-eight billion, five hundred four million, six hundred eight thousand, four hundred eighty".