8434684600 has 96 divisors (see below), whose sum is σ = 20281559040. Its totient is φ = 3258864000.

The previous prime is 8434684519. The next prime is 8434684633. The reversal of 8434684600 is 64864348.

It is a super-2 number, since 2×8434684600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4605685 + ... + 4607515.

It is an arithmetic number, because the mean of its divisors is an integer number (211266240).

Almost surely, 2^8434684600 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 8434684600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140779520).

8434684600 is an abundant number, since it is smaller than the sum of its proper divisors (11846874440).

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

8434684600 is a wasteful number, since it uses less digits than its factorization.

8434684600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The square root of 8434684600 is about 91840.5389792547. The cubic root of 8434684600 is about 2035.5867525493.

The spelling of 8434684600 in words is "eight billion, four hundred thirty-four million, six hundred eighty-four thousand, six hundred".