383346643680 has 1152 divisors, whose sum is σ = 1815333811200. Its totient is φ = 73519902720.

The previous prime is 383346643661. The next prime is 383346643733. The reversal of 383346643680 is 86346643383.

383346643680 is a `hidden beast` number, since 3 + 83 + 3 + 466 + 43 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47563491 + ... + 47571549.

It is an arithmetic number, because the mean of its divisors is an integer number (1575810600).

Almost surely, 2^383346643680 is an apocalyptic number.

383346643680 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 383346643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907666905600).

383346643680 is an abundant number, since it is smaller than the sum of its proper divisors (1431987167520).

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

383346643680 is a wasteful number, since it uses less digits than its factorization.

383346643680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125 (or 8100 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 383346643680 in words is "three hundred eighty-three billion, three hundred forty-six million, six hundred forty-three thousand, six hundred eighty".