38130393600 has 1440 divisors, whose sum is σ = 162902323584. Its totient is φ = 8758886400.

The previous prime is 38130393569. The next prime is 38130393619. The reversal of 38130393600 is 639303183.

38130393600 is a `hidden beast` number, since 3 + 8 + 13 + 0 + 39 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 930009580 + ... + 930009620.

Almost surely, 2^38130393600 is an apocalyptic number.

38130393600 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 38130393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81451161792).

38130393600 is an abundant number, since it is smaller than the sum of its proper divisors (124771929984).

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

38130393600 is a wasteful number, since it uses less digits than its factorization.

38130393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Adding to 38130393600 its reverse (639303183), we get a palindrome (38769696783).

The spelling of 38130393600 in words is "thirty-eight billion, one hundred thirty million, three hundred ninety-three thousand, six hundred".