382807436352 has 224 divisors, whose sum is σ = 1175077639680. Its totient is φ = 108762808320.

The previous prime is 382807436351. The next prime is 382807436377. The reversal of 382807436352 is 253634708283.

It is a junction number, because it is equal to n+sod(n) for n = 382807436295 and 382807436304.

It is not an unprimeable number, because it can be changed into a prime (382807436351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3843243 + ... + 3941589.

It is an arithmetic number, because the mean of its divisors is an integer number (5245882320).

Almost surely, 2^382807436352 is an apocalyptic number.

382807436352 is a gapful number since it is divisible by the number (32) 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 382807436352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587538819840).

382807436352 is an abundant number, since it is smaller than the sum of its proper divisors (792270203328).

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

382807436352 is a wasteful number, since it uses less digits than its factorization.

382807436352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98489 (or 98479 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 382807436352 in words is "three hundred eighty-two billion, eight hundred seven million, four hundred thirty-six thousand, three hundred fifty-two".