3213261864 has 96 divisors (see below), whose sum is σ = 8898481800. Its totient is φ = 1047191040.

The previous prime is 3213261853. The next prime is 3213261901. The reversal of 3213261864 is 4681623123.

3213261864 is a `hidden beast` number, since 3 + 2 + 1 + 32 + 618 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3185699364 + 27562500 = 56442^2 + 5250^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757702 + ... + 761930.

Almost surely, 2^3213261864 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 3213261864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449240900).

3213261864 is an abundant number, since it is smaller than the sum of its proper divisors (5685219936).

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

3213261864 is a wasteful number, since it uses less digits than its factorization.

3213261864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4468 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3213261864 is about 56685.6407214384. The cubic root of 3213261864 is about 1475.6455072181.

Adding to 3213261864 its reverse (4681623123), we get a palindrome (7894884987).

The spelling of 3213261864 in words is "three billion, two hundred thirteen million, two hundred sixty-one thousand, eight hundred sixty-four".