3267997824 has 256 divisors, whose sum is σ = 10949218560. Its totient is φ = 840499200.

The previous prime is 3267997823. The next prime is 3267997841. The reversal of 3267997824 is 4287997623.

It is not an unprimeable number, because it can be changed into a prime (3267997823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431564 + ... + 1433844.

It is an arithmetic number, because the mean of its divisors is an integer number (42770385).

Almost surely, 2^3267997824 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 3267997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474609280).

3267997824 is an abundant number, since it is smaller than the sum of its proper divisors (7681220736).

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

3267997824 is a wasteful number, since it uses less digits than its factorization.

3267997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2347 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The square root of 3267997824 is about 57166.4046796718. The cubic root of 3267997824 is about 1483.9772835527.

The spelling of 3267997824 in words is "three billion, two hundred sixty-seven million, nine hundred ninety-seven thousand, eight hundred twenty-four".