383385784320 has 1872 divisors, whose sum is σ = 1793473576128. Its totient is φ = 74648125440.

The previous prime is 383385784283. The next prime is 383385784357. The reversal of 383385784320 is 23487583383.

383385784320 is a `hidden beast` number, since 3 + 8 + 3 + 3 + 8 + 578 + 43 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (383385784283) and next prime (383385784357).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1688924047 + ... + 1688924273.

It is an arithmetic number, because the mean of its divisors is an integer number (958052124).

Almost surely, 2^383385784320 is an apocalyptic number.

383385784320 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 383385784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896736788064).

383385784320 is an abundant number, since it is smaller than the sum of its proper divisors (1410087791808).

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

383385784320 is a wasteful number, since it uses less digits than its factorization.

383385784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 383385784320 in words is "three hundred eighty-three billion, three hundred eighty-five million, seven hundred eighty-four thousand, three hundred twenty".