382347790272 has 252 divisors, whose sum is σ = 1275627913560. Its totient is φ = 109176302592.

The previous prime is 382347790261. The next prime is 382347790277. The reversal of 382347790272 is 272097743283.

It is a happy number.

382347790272 is a `hidden beast` number, since 3 + 82 + 3 + 477 + 90 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382347790277) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65166283 + ... + 65172149.

It is an arithmetic number, because the mean of its divisors is an integer number (5062015530).

Almost surely, 2^382347790272 is an apocalyptic number.

382347790272 is a gapful number since it is divisible by the number (32) 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 382347790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637813956780).

382347790272 is an abundant number, since it is smaller than the sum of its proper divisors (893280123288).

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

382347790272 is a wasteful number, since it uses less digits than its factorization.

382347790272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 382347790272 in words is "three hundred eighty-two billion, three hundred forty-seven million, seven hundred ninety thousand, two hundred seventy-two".