3427563264 has 144 divisors (see below), whose sum is σ = 9408940800. Its totient is φ = 1107025920.

The previous prime is 3427563263. The next prime is 3427563317. The reversal of 3427563264 is 4623657243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427563263) 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 15 ways as a sum of consecutive naturals, for example, 6265839 + ... + 6266385.

Almost surely, 2^3427563264 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 3427563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704470400).

3427563264 is an abundant number, since it is smaller than the sum of its proper divisors (5981377536).

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

3427563264 is a wasteful number, since it uses less digits than its factorization.

3427563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 792 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The square root of 3427563264 is about 58545.3949000261. The cubic root of 3427563264 is about 1507.7470699446.

The spelling of 3427563264 in words is "three billion, four hundred twenty-seven million, five hundred sixty-three thousand, two hundred sixty-four".