382722693120 has 480 divisors, whose sum is σ = 1381004024400. Its totient is φ = 101374820352.

The previous prime is 382722693107. The next prime is 382722693169. The reversal of 382722693120 is 21396227283.

382722693120 is a `hidden beast` number, since 3 + 8 + 2 + 72 + 269 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130220611 + ... + 130223549.

Almost surely, 2^382722693120 is an apocalyptic number.

382722693120 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 382722693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690502012200).

382722693120 is an abundant number, since it is smaller than the sum of its proper divisors (998281331280).

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

382722693120 is a wasteful number, since it uses less digits than its factorization.

382722693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 382722693120 in words is "three hundred eighty-two billion, seven hundred twenty-two million, six hundred ninety-three thousand, one hundred twenty".