382901804640 has 384 divisors, whose sum is σ = 1413117619200. Its totient is φ = 96566722560.

The previous prime is 382901804599. The next prime is 382901804653. The reversal of 382901804640 is 46408109283.

It is a happy number.

382901804640 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 0 + 180 + 464 + 0 = 666.

It is a super-2 number, since 2×382901804640² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 51788784 + ... + 51796176.

It is an arithmetic number, because the mean of its divisors is an integer number (3679993800).

Almost surely, 2^382901804640 is an apocalyptic number.

382901804640 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 382901804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706558809600).

382901804640 is an abundant number, since it is smaller than the sum of its proper divisors (1030215814560).

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

382901804640 is a wasteful number, since it uses less digits than its factorization.

382901804640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8067 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 382901804640 in words is "three hundred eighty-two billion, nine hundred one million, eight hundred four thousand, six hundred forty".