38208468480 has 640 divisors, whose sum is σ = 156937955328. Its totient is φ = 7707820032.

The previous prime is 38208468469. The next prime is 38208468497. The reversal of 38208468480 is 8486480283.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16073052 + ... + 16075428.

Almost surely, 2^38208468480 is an apocalyptic number.

38208468480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38208468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78468977664).

38208468480 is an abundant number, since it is smaller than the sum of its proper divisors (118729486848).

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

38208468480 is a wasteful number, since it uses less digits than its factorization.

38208468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 38208468480 in words is "thirty-eight billion, two hundred eight million, four hundred sixty-eight thousand, four hundred eighty".