3267968020 has 48 divisors (see below), whose sum is σ = 7074844560. Its totient is φ = 1267052544.

The previous prime is 3267967993. The next prime is 3267968069. The reversal of 3267968020 is 208697623.

It can be written as a sum of positive squares in 8 ways, for example, as 179720836 + 3088247184 = 13406^2 + 55572^2 .

It is a super-2 number, since 2×3267968020² = 21359229959485440800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 190852 + ... + 207268.

It is an arithmetic number, because the mean of its divisors is an integer number (147392595).

Almost surely, 2^3267968020 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 3267968020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537422280).

3267968020 is an abundant number, since it is smaller than the sum of its proper divisors (3806876540).

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

3267968020 is a wasteful number, since it uses less digits than its factorization.

3267968020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16732 (or 16730 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 3267968020 is about 57166.1440014979. The cubic root of 3267968020 is about 1483.9727722692.

The spelling of 3267968020 in words is "three billion, two hundred sixty-seven million, nine hundred sixty-eight thousand, twenty".