38179216416 has 192 divisors, whose sum is σ = 113419958400. Its totient is φ = 11139072000.

The previous prime is 38179216399. The next prime is 38179216421. The reversal of 38179216416 is 61461297183.

It is a super-2 number, since 2×38179216416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12278670 + ... + 12281778.

It is an arithmetic number, because the mean of its divisors is an integer number (590728950).

Almost surely, 2^38179216416 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 38179216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56709979200).

38179216416 is an abundant number, since it is smaller than the sum of its proper divisors (75240741984).

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

38179216416 is a wasteful number, since it uses less digits than its factorization.

38179216416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3555 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 38179216416 in words is "thirty-eight billion, one hundred seventy-nine million, two hundred sixteen thousand, four hundred sixteen".