3262329540864 has 567 divisors, whose sum is σ = 10124000695263. Its totient is φ = 1048689524736.

The previous prime is 3262329540857. The next prime is 3262329540881. The reversal of 3262329540864 is 4680459232623.

The square root of 3262329540864 is 1806192.

It is a perfect power (a square), and thus also a powerful number.

3262329540864 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 32 + 9 + 540 + 8 + 64 = 666.

3262329540864 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 125180100864 + 3137149440000 = 353808^2 + 1771200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3262329540864.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 28870172872 + ... + 28870172984.

Almost surely, 2^{3262329540864} is an apocalyptic number.

3262329540864 is the 1806192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3262329540864

3262329540864 is an abundant number, since it is smaller than the sum of its proper divisors (6861671154399).

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

3262329540864 is an frugal number, since it uses more digits than its factorization.

3262329540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3262329540864 in words is "three trillion, two hundred sixty-two billion, three hundred twenty-nine million, five hundred forty thousand, eight hundred sixty-four".