382694373135360 has 4928 divisors, whose sum is σ = 1693076270376960. Its totient is φ = 81696522240000.

The previous prime is 382694373135359. The next prime is 382694373135379. The reversal of 382694373135360 is 63531373496283.

382694373135360 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 9 + 437 + 3 + 135 + 3 + 60 = 666.

It is a super-2 number, since 2×382694373135360² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1671154467726 + ... + 1671154467954.

It is a 1-persistent number, because it is pandigital, but 2⋅382694373135360 = 765388746270720 is not.

Almost surely, 2^{382694373135360} is an apocalyptic number.

382694373135360 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 382694373135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846538135188480).

382694373135360 is an abundant number, since it is smaller than the sum of its proper divisors (1310381897241600).

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

382694373135360 is a wasteful number, since it uses less digits than its factorization.

382694373135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 382694373135360 in words is "three hundred eighty-two trillion, six hundred ninety-four billion, three hundred seventy-three million, one hundred thirty-five thousand, three hundred sixty".