38185847616 has 224 divisors, whose sum is σ = 119552606208. Its totient is φ = 10526330880.

The previous prime is 38185847603. The next prime is 38185847629. The reversal of 38185847616 is 61674858183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38185847603) and next prime (38185847629).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 15956116 + ... + 15958508.

It is an arithmetic number, because the mean of its divisors is an integer number (533716992).

Almost surely, 2^38185847616 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 38185847616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59776303104).

38185847616 is an abundant number, since it is smaller than the sum of its proper divisors (81366758592).

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

38185847616 is a wasteful number, since it uses less digits than its factorization.

38185847616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2819 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The spelling of 38185847616 in words is "thirty-eight billion, one hundred eighty-five million, eight hundred forty-seven thousand, six hundred sixteen".