38460704880 has 320 divisors, whose sum is σ = 135261342720. Its totient is φ = 8969207808.

The previous prime is 38460704861. The next prime is 38460704911. The reversal of 38460704880 is 8840706483.

38460704880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7675816 + ... + 7680824.

It is an arithmetic number, because the mean of its divisors is an integer number (422691696).

Almost surely, 2^38460704880 is an apocalyptic number.

38460704880 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 38460704880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67630671360).

38460704880 is an abundant number, since it is smaller than the sum of its proper divisors (96800637840).

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

38460704880 is a wasteful number, since it uses less digits than its factorization.

38460704880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 38460704880 in words is "thirty-eight billion, four hundred sixty million, seven hundred four thousand, eight hundred eighty".