382314086880 has 384 divisors, whose sum is σ = 1358025854976. Its totient is φ = 89568460800.

The previous prime is 382314086863. The next prime is 382314086927. The reversal of 382314086880 is 88680413283.

It is a happy number.

It is a super-2 number, since 2×382314086880² (a number of 24 digits) contains 22 as substring.

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, 178901172 + ... + 178903308.

It is an arithmetic number, because the mean of its divisors is an integer number (3536525664).

Almost surely, 2^382314086880 is an apocalyptic number.

382314086880 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 382314086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679012927488).

382314086880 is an abundant number, since it is smaller than the sum of its proper divisors (975711768096).

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

382314086880 is a wasteful number, since it uses less digits than its factorization.

382314086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 382314086880 in words is "three hundred eighty-two billion, three hundred fourteen million, eighty-six thousand, eight hundred eighty".