383884712640 has 2688 divisors, whose sum is σ = 1789356441600. Its totient is φ = 76859228160.

The previous prime is 383884712623. The next prime is 383884712641. The reversal of 383884712640 is 46217488383.

383884712640 is a `hidden beast` number, since 38 + 3 + 88 + 471 + 2 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (383884712641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4859300121 + ... + 4859300199.

It is an arithmetic number, because the mean of its divisors is an integer number (665683200).

Almost surely, 2^383884712640 is an apocalyptic number.

383884712640 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 383884712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894678220800).

383884712640 is an abundant number, since it is smaller than the sum of its proper divisors (1405471728960).

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

383884712640 is a wasteful number, since it uses less digits than its factorization.

383884712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 383884712640 in words is "three hundred eighty-three billion, eight hundred eighty-four million, seven hundred twelve thousand, six hundred forty".