38056740480 has 384 divisors, whose sum is σ = 143992779840. Its totient is φ = 9185280000.

The previous prime is 38056740433. The next prime is 38056740529. The reversal of 38056740480 is 8404765083.

38056740480 is a `hidden beast` number, since 3 + 8 + 0 + 567 + 4 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15902164 + ... + 15904556.

Almost surely, 2^38056740480 is an apocalyptic number.

38056740480 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 38056740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71996389920).

38056740480 is an abundant number, since it is smaller than the sum of its proper divisors (105936039360).

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

38056740480 is a wasteful number, since it uses less digits than its factorization.

38056740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 38056740480 in words is "thirty-eight billion, fifty-six million, seven hundred forty thousand, four hundred eighty".