38500733376 has 336 divisors, whose sum is σ = 131405863680. Its totient is φ = 10948608000.

The previous prime is 38500733351. The next prime is 38500733419. The reversal of 38500733376 is 67333700583.

38500733376 is a `hidden beast` number, since 3 + 8 + 500 + 73 + 3 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27324160 + ... + 27325568.

It is an arithmetic number, because the mean of its divisors is an integer number (391088880).

Almost surely, 2^38500733376 is an apocalyptic number.

38500733376 is a gapful number since it is divisible by the number (36) 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 38500733376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65702931840).

38500733376 is an abundant number, since it is smaller than the sum of its proper divisors (92905130304).

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

38500733376 is a wasteful number, since it uses less digits than its factorization.

38500733376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 38500733376 in words is "thirty-eight billion, five hundred million, seven hundred thirty-three thousand, three hundred seventy-six".