3213627776 has 96 divisors (see below), whose sum is σ = 7156048680. Its totient is φ = 1432350720.

The previous prime is 3213627763. The next prime is 3213627829. The reversal of 3213627776 is 6777263123.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 783491 + ... + 787581.

Almost surely, 2^3213627776 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 3213627776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578024340).

3213627776 is an abundant number, since it is smaller than the sum of its proper divisors (3942420904).

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

3213627776 is a wasteful number, since it uses less digits than its factorization.

3213627776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4129 counting only the distinct ones).

The product of its digits is 444528, while the sum is 44.

The square root of 3213627776 is about 56688.8681841506. The cubic root of 3213627776 is about 1475.7015184124.

The spelling of 3213627776 in words is "three billion, two hundred thirteen million, six hundred twenty-seven thousand, seven hundred seventy-six".