38130048540 has 432 divisors, whose sum is σ = 131027944320. Its totient is φ = 9281744640.

The previous prime is 38130048497. The next prime is 38130048547. The reversal of 38130048540 is 4584003183.

38130048540 is a `hidden beast` number, since 3 + 8 + 130 + 0 + 485 + 40 = 666.

It is a super-2 number, since 2×38130048540² (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 junction number, because it is equal to n+sod(n) for n = 38130048495 and 38130048504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38130048547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77657695 + ... + 77658185.

Almost surely, 2^38130048540 is an apocalyptic number.

38130048540 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 38130048540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65513972160).

38130048540 is an abundant number, since it is smaller than the sum of its proper divisors (92897895780).

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

38130048540 is a wasteful number, since it uses less digits than its factorization.

38130048540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 38130048540 in words is "thirty-eight billion, one hundred thirty million, forty-eight thousand, five hundred forty".