3458574864 has 120 divisors (see below), whose sum is σ = 10264119840. Its totient is φ = 1084091904.

The previous prime is 3458574781. The next prime is 3458574869. The reversal of 3458574864 is 4684758543.

It is a happy number.

3458574864 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 574 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3458574864.

It is not an unprimeable number, because it can be changed into a prime (3458574869) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 370219 + ... + 379445.

It is an arithmetic number, because the mean of its divisors is an integer number (85534332).

Almost surely, 2^3458574864 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 3458574864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132059920).

3458574864 is an abundant number, since it is smaller than the sum of its proper divisors (6805544976).

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

3458574864 is a wasteful number, since it uses less digits than its factorization.

3458574864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397 (or 9388 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The square root of 3458574864 is about 58809.6494123201. The cubic root of 3458574864 is about 1512.2806441352.

The spelling of 3458574864 in words is "three billion, four hundred fifty-eight million, five hundred seventy-four thousand, eight hundred sixty-four".