38168392416 has 384 divisors, whose sum is σ = 128430489600. Its totient is φ = 9838886400.

The previous prime is 38168392403. The next prime is 38168392447. The reversal of 38168392416 is 61429386183.

It is a super-3 number, since 3×38168392416³ (a number of 33 digits) contains 333 as substring.

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, 60488421 + ... + 60489051.

It is an arithmetic number, because the mean of its divisors is an integer number (334454400).

Almost surely, 2^38168392416 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 38168392416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64215244800).

38168392416 is an abundant number, since it is smaller than the sum of its proper divisors (90262097184).

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

38168392416 is a wasteful number, since it uses less digits than its factorization.

38168392416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 821 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 38168392416 in words is "thirty-eight billion, one hundred sixty-eight million, three hundred ninety-two thousand, four hundred sixteen".