382112640 has 576 divisors, whose sum is σ = 1686353760. Its totient is φ = 80621568.

The previous prime is 382112623. The next prime is 382112641. The reversal of 382112640 is 46211283.

382112640 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1170 × 1134 × 288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382112641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29393274 + ... + 29393286.

Almost surely, 2^382112640 is an apocalyptic number.

382112640 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 382112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843176880).

382112640 is an abundant number, since it is smaller than the sum of its proper divisors (1304241120).

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

382112640 is an frugal number, since it uses more digits than its factorization.

382112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 382112640 is about 19547.7016551819. The cubic root of 382112640 is about 725.6554611334.

It can be divided in two parts, 3821 and 12640, that added together give a palindrome (16461).

The spelling of 382112640 in words is "three hundred eighty-two million, one hundred twelve thousand, six hundred forty".