38182010880 has 960 divisors, whose sum is σ = 150612860160. Its totient is φ = 8153726976.

The previous prime is 38182010879. The next prime is 38182010891. The reversal of 38182010880 is 8801028183.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1031946222 + ... + 1031946258.

It is an arithmetic number, because the mean of its divisors is an integer number (156888396).

Almost surely, 2^38182010880 is an apocalyptic number.

38182010880 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 38182010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75306430080).

38182010880 is an abundant number, since it is smaller than the sum of its proper divisors (112430849280).

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

38182010880 is a wasteful number, since it uses less digits than its factorization.

38182010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 38182010880 in words is "thirty-eight billion, one hundred eighty-two million, ten thousand, eight hundred eighty".