382914382032 has 960 divisors, whose sum is σ = 1449082252800. Its totient is φ = 91550269440.

The previous prime is 382914382007. The next prime is 382914382087. The reversal of 382914382032 is 230283419283.

382914382032 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 1 + 438 + 203 + 2 = 666.

It is a super-3 number, since 3×382914382032³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1306874878 + ... + 1306875170.

It is an arithmetic number, because the mean of its divisors is an integer number (1509460680).

Almost surely, 2^382914382032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382914382032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724541126400).

382914382032 is an abundant number, since it is smaller than the sum of its proper divisors (1066167870768).

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

382914382032 is a wasteful number, since it uses less digits than its factorization.

382914382032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 382914382032 in words is "three hundred eighty-two billion, nine hundred fourteen million, three hundred eighty-two thousand, thirty-two".