38354835312 has 320 divisors, whose sum is σ = 119563776000. Its totient is φ = 11742796800.

The previous prime is 38354835301. The next prime is 38354835329. The reversal of 38354835312 is 21353845383.

38354835312 is a `hidden beast` number, since 3 + 8 + 35 + 4 + 83 + 531 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23689639 + ... + 23691257.

It is an arithmetic number, because the mean of its divisors is an integer number (373636800).

Almost surely, 2^38354835312 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 38354835312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59781888000).

38354835312 is an abundant number, since it is smaller than the sum of its proper divisors (81208940688).

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

38354835312 is a wasteful number, since it uses less digits than its factorization.

38354835312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1745 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 38354835312 in words is "thirty-eight billion, three hundred fifty-four million, eight hundred thirty-five thousand, three hundred twelve".