8434031616 has 264 divisors, whose sum is σ = 25658964864. Its totient is φ = 2664529920.

The previous prime is 8434031609. The next prime is 8434031629. The reversal of 8434031616 is 6161304348.

It is a happy number.

8434031616 is a `hidden beast` number, since 8 + 4 + 3 + 4 + 0 + 31 + 616 = 666.

It is a super-2 number, since 2×8434031616² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 15141610 + ... + 15142166.

Almost surely, 2^8434031616 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 8434031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829482432).

8434031616 is an abundant number, since it is smaller than the sum of its proper divisors (17224933248).

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

8434031616 is a wasteful number, since it uses less digits than its factorization.

8434031616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8434031616 is about 91836.9839226006. The cubic root of 8434031616 is about 2035.5342218404.

The spelling of 8434031616 in words is "eight billion, four hundred thirty-four million, thirty-one thousand, six hundred sixteen".