38676096000 has 1056 divisors, whose sum is σ = 155731829760. Its totient is φ = 9455616000.

The previous prime is 38676095989. The next prime is 38676096013. The reversal of 38676096000 is 69067683.

38676096000 is a `hidden beast` number, since 38 + 6 + 7 + 6 + 0 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1247615985 + ... + 1247616015.

Almost surely, 2^38676096000 is an apocalyptic number.

38676096000 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 38676096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77865914880).

38676096000 is an abundant number, since it is smaller than the sum of its proper divisors (117055733760).

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

38676096000 is a wasteful number, since it uses less digits than its factorization.

38676096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 38676096000 in words is "thirty-eight billion, six hundred seventy-six million, ninety-six thousand".