382339077120 has 2112 divisors, whose sum is σ = 1850633680896. Its totient is φ = 73096888320.

The previous prime is 382339077097. The next prime is 382339077193. The reversal of 382339077120 is 21770933283.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1245404007 + ... + 1245404313.

It is an arithmetic number, because the mean of its divisors is an integer number (876247008).

Almost surely, 2^382339077120 is an apocalyptic number.

382339077120 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 382339077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925316840448).

382339077120 is an abundant number, since it is smaller than the sum of its proper divisors (1468294603776).

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

382339077120 is a wasteful number, since it uses less digits than its factorization.

382339077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 382339077120 in words is "three hundred eighty-two billion, three hundred thirty-nine million, seventy-seven thousand, one hundred twenty".