382849420800 has 1440 divisors, whose sum is σ = 1619646336000. Its totient is φ = 78018969600.

The previous prime is 382849420783. The next prime is 382849420813. The reversal of 382849420800 is 8024948283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 382849420800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2569459126 + ... + 2569459274.

It is an arithmetic number, because the mean of its divisors is an integer number (1124754400).

Almost surely, 2^382849420800 is an apocalyptic number.

382849420800 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 382849420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809823168000).

382849420800 is an abundant number, since it is smaller than the sum of its proper divisors (1236796915200).

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

382849420800 is a wasteful number, since it uses less digits than its factorization.

382849420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 382849420800 in words is "three hundred eighty-two billion, eight hundred forty-nine million, four hundred twenty thousand, eight hundred".