382274640 has 400 divisors, whose sum is σ = 1503760896. Its totient is φ = 89164800.

The previous prime is 382274621. The next prime is 382274719. The reversal of 382274640 is 46472283.

382274640 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 7 + 4 + 640 = 666.

It is a super-2 number, since 2×382274640² = 292267800774259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 382274595 and 382274604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2209594 + ... + 2209766.

Almost surely, 2^382274640 is an apocalyptic number.

382274640 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 382274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751880448).

382274640 is an abundant number, since it is smaller than the sum of its proper divisors (1121486256).

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

382274640 is a wasteful number, since it uses less digits than its factorization.

382274640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 382274640 is about 19551.8449257353. The cubic root of 382274640 is about 725.7579959737.

The spelling of 382274640 in words is "three hundred eighty-two million, two hundred seventy-four thousand, six hundred forty".