84346384 has 80 divisors (see below), whose sum is σ = 184474800. Its totient is φ = 37287936.

The previous prime is 84346363. The next prime is 84346393. The reversal of 84346384 is 48364348.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6906384 + 77440000 = 2628^2 + 8800^2 .

It is a super-2 number, since 2×84346384² = 14228624987750912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2279614 + ... + 2279650.

It is an arithmetic number, because the mean of its divisors is an integer number (2305935).

Almost surely, 2^84346384 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 84346384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92237400).

84346384 is an abundant number, since it is smaller than the sum of its proper divisors (100128416).

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

84346384 is a wasteful number, since it uses less digits than its factorization.

84346384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 85 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 84346384 is about 9184.0287455996. The cubic root of 84346384 is about 438.5530707155.

The spelling of 84346384 in words is "eighty-four million, three hundred forty-six thousand, three hundred eighty-four".