38676338525304 has 96 divisors (see below), whose sum is σ = 105563645787600. Its totient is φ = 12791806110720.

The previous prime is 38676338525299. The next prime is 38676338525333. The reversal of 38676338525304 is 40352583367683.

38676338525304 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 63 + 38 + 5 + 2 + 530 + 4 = 666.

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, 64148802 + ... + 64748910.

Almost surely, 2^{38676338525304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38676338525304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52781822893800).

38676338525304 is an abundant number, since it is smaller than the sum of its proper divisors (66887307262296).

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

38676338525304 is a wasteful number, since it uses less digits than its factorization.

38676338525304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607085 (or 607078 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 38676338525304 in words is "thirty-eight trillion, six hundred seventy-six billion, three hundred thirty-eight million, five hundred twenty-five thousand, three hundred four".