8434057984 has 72 divisors (see below), whose sum is σ = 18489819600. Its totient is φ = 3807744000.

The previous prime is 8434057963. The next prime is 8434058027. The reversal of 8434057984 is 4897504348.

It is a super-2 number, since 2×8434057984² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409534 + ... + 429634.

It is an arithmetic number, because the mean of its divisors is an integer number (256803050).

Almost surely, 2^8434057984 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 8434057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9244909800).

8434057984 is an abundant number, since it is smaller than the sum of its proper divisors (10055761616).

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

8434057984 is a wasteful number, since it uses less digits than its factorization.

8434057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277 (or 20263 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The square root of 8434057984 is about 91837.1274812099. The cubic root of 8434057984 is about 2035.5363431237.

The spelling of 8434057984 in words is "eight billion, four hundred thirty-four million, fifty-seven thousand, nine hundred eighty-four".