3458456064 has 540 divisors, whose sum is σ = 12566836854. Its totient is φ = 912457728.

The previous prime is 3458456051. The next prime is 3458456093. The reversal of 3458456064 is 4606548543.

3458456064 is a `hidden beast` number, since 3 + 4 + 5 + 84 + 560 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3457440000 + 1016064 = 58800^2 + 1008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 65253862 + ... + 65253914.

Almost surely, 2^3458456064 is an apocalyptic number.

3458456064 is a gapful number since it is divisible by the number (34) 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 3458456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283418427).

3458456064 is an abundant number, since it is smaller than the sum of its proper divisors (9108380790).

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

3458456064 is a wasteful number, since it uses less digits than its factorization.

3458456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 3458456064 is about 58808.6393653177. The cubic root of 3458456064 is about 1512.2633286218.

The spelling of 3458456064 in words is "three billion, four hundred fifty-eight million, four hundred fifty-six thousand, sixty-four".