383822449920 has 864 divisors, whose sum is σ = 1649929881600. Its totient is φ = 80215474176.

The previous prime is 383822449891. The next prime is 383822449931. The reversal of 383822449920 is 29944228383.

383822449920 is a `hidden beast` number, since 38 + 3 + 82 + 2 + 449 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114265201 + ... + 114268559.

Almost surely, 2^383822449920 is an apocalyptic number.

383822449920 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 383822449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824964940800).

383822449920 is an abundant number, since it is smaller than the sum of its proper divisors (1266107431680).

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

383822449920 is a wasteful number, since it uses less digits than its factorization.

383822449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 383822449920 in words is "three hundred eighty-three billion, eight hundred twenty-two million, four hundred forty-nine thousand, nine hundred twenty".