83934300384 has 576 divisors, whose sum is σ = 285524144640. Its totient is φ = 23919667200.

The previous prime is 83934300349. The next prime is 83934300391. The reversal of 83934300384 is 48300343938.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 161102044 + ... + 161102564.

It is an arithmetic number, because the mean of its divisors is an integer number (495701640).

Almost surely, 2^83934300384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83934300384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142762072320).

83934300384 is an abundant number, since it is smaller than the sum of its proper divisors (201589844256).

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

83934300384 is a wasteful number, since it uses less digits than its factorization.

83934300384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 83934300384 in words is "eighty-three billion, nine hundred thirty-four million, three hundred thousand, three hundred eighty-four".