3459934296 has 288 divisors, whose sum is σ = 11847420000. Its totient is φ = 911409408.

The previous prime is 3459934259. The next prime is 3459934297. The reversal of 3459934296 is 6924399543.

3459934296 is a `hidden beast` number, since 3 + 4 + 599 + 3 + 42 + 9 + 6 = 666.

It is a super-2 number, since 2×3459934296² = 23942290665274031232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3459934297) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4173210 + ... + 4174038.

It is an arithmetic number, because the mean of its divisors is an integer number (41136875).

Almost surely, 2^3459934296 is an apocalyptic number.

3459934296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3459934296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923710000).

3459934296 is an abundant number, since it is smaller than the sum of its proper divisors (8387485704).

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

3459934296 is a wasteful number, since it uses less digits than its factorization.

3459934296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 854 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The square root of 3459934296 is about 58821.2061760042. The cubic root of 3459934296 is about 1512.4787578557.

The spelling of 3459934296 in words is "three billion, four hundred fifty-nine million, nine hundred thirty-four thousand, two hundred ninety-six".