38905835904 has 192 divisors, whose sum is σ = 121342843440. Its totient is φ = 11894059008.

The previous prime is 38905835897. The next prime is 38905835951. The reversal of 38905835904 is 40953850983.

38905835904 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 583 + 59 + 0 + 4 = 666.

38905835904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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, 2342959 + ... + 2359505.

Almost surely, 2^38905835904 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 38905835904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60671421720).

38905835904 is an abundant number, since it is smaller than the sum of its proper divisors (82437007536).

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

38905835904 is a wasteful number, since it uses less digits than its factorization.

38905835904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16737 (or 16722 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 38905835904 in words is "thirty-eight billion, nine hundred five million, eight hundred thirty-five thousand, nine hundred four".