38130036480 has 216 divisors, whose sum is σ = 132406681680. Its totient is φ = 10130964480.

The previous prime is 38130036443. The next prime is 38130036517. The reversal of 38130036480 is 8463003183.

It is a happy number.

38130036480 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 0 + 0 + 3 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38130036443) and next prime (38130036517).

It is a super-2 number, since 2×38130036480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3231231 + ... + 3243009.

Almost surely, 2^38130036480 is an apocalyptic number.

38130036480 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 38130036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66203340840).

38130036480 is an abundant number, since it is smaller than the sum of its proper divisors (94276645200).

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

38130036480 is a wasteful number, since it uses less digits than its factorization.

38130036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12087 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 38130036480 in words is "thirty-eight billion, one hundred thirty million, thirty-six thousand, four hundred eighty".