38167364160 has 448 divisors, whose sum is σ = 145055539200. Its totient is φ = 9416300544.

The previous prime is 38167364159. The next prime is 38167364177. The reversal of 38167364160 is 6146376183.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7056177 + ... + 7061583.

Almost surely, 2^38167364160 is an apocalyptic number.

38167364160 is a gapful number since it is divisible by the number (30) 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 38167364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72527769600).

38167364160 is an abundant number, since it is smaller than the sum of its proper divisors (106888175040).

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

38167364160 is a wasteful number, since it uses less digits than its factorization.

38167364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5479 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38167364160 in words is "thirty-eight billion, one hundred sixty-seven million, three hundred sixty-four thousand, one hundred sixty".