38884180896 has 960 divisors, whose sum is σ = 140155868160. Its totient is φ = 10450944000.

The previous prime is 38884180871. The next prime is 38884180921. The reversal of 38884180896 is 69808148883.

It is an interprime number because it is at equal distance from previous prime (38884180871) and next prime (38884180921).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 948394636 + ... + 948394676.

It is an arithmetic number, because the mean of its divisors is an integer number (145995696).

Almost surely, 2^38884180896 is an apocalyptic number.

38884180896 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 38884180896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70077934080).

38884180896 is an abundant number, since it is smaller than the sum of its proper divisors (101271687264).

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

38884180896 is a wasteful number, since it uses less digits than its factorization.

38884180896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 38884180896 in words is "thirty-eight billion, eight hundred eighty-four million, one hundred eighty thousand, eight hundred ninety-six".