38208633372 has 216 divisors, whose sum is σ = 121722291600. Its totient is φ = 10075980096.

The previous prime is 38208633313. The next prime is 38208633451. The reversal of 38208633372 is 27333680283.

38208633372 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 8 + 633 + 3 + 7 + 2 = 666.

38208633372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3870579 + ... + 3880437.

Almost surely, 2^38208633372 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 38208633372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60861145800).

38208633372 is an abundant number, since it is smaller than the sum of its proper divisors (83513658228).

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

38208633372 is a wasteful number, since it uses less digits than its factorization.

38208633372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9922 (or 9884 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 38208633372 in words is "thirty-eight billion, two hundred eight million, six hundred thirty-three thousand, three hundred seventy-two".