383804313984 has 640 divisors, whose sum is σ = 1488534062400. Its totient is φ = 95264833536.

The previous prime is 383804313953. The next prime is 383804314021. The reversal of 383804313984 is 489313408383.

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

It is a self number, because there is not a number n which added to its sum of digits gives 383804313984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16027332 + ... + 16051260.

Almost surely, 2^383804313984 is an apocalyptic number.

383804313984 is a gapful number since it is divisible by the number (34) 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 383804313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744267031200).

383804313984 is an abundant number, since it is smaller than the sum of its proper divisors (1104729748416).

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

383804313984 is a wasteful number, since it uses less digits than its factorization.

383804313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23992 (or 23971 counting only the distinct ones).

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

The spelling of 383804313984 in words is "three hundred eighty-three billion, eight hundred four million, three hundred thirteen thousand, nine hundred eighty-four".