3257728564 has 24 divisors (see below), whose sum is σ = 6041415240. Its totient is φ = 1531769856.

The previous prime is 3257728553. The next prime is 3257728583. The reversal of 3257728564 is 4658277523.

3257728564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 445547664 + 2812180900 = 21108^2 + 53030^2 .

It is a super-2 number, since 2×3257728564² = 21225590793403004192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64752 + ... + 103480.

It is an arithmetic number, because the mean of its divisors is an integer number (251725635).

Almost surely, 2^3257728564 is an apocalyptic number.

3257728564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3257728564 is a deficient number, since it is larger than the sum of its proper divisors (2783686676).

3257728564 is a wasteful number, since it uses less digits than its factorization.

3257728564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39987 (or 39985 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 49.

The square root of 3257728564 is about 57076.5149952237. The cubic root of 3257728564 is about 1482.4212503823.

The spelling of 3257728564 in words is "three billion, two hundred fifty-seven million, seven hundred twenty-eight thousand, five hundred sixty-four".