3273006672 has 60 divisors (see below), whose sum is σ = 9864484084. Its totient is φ = 1007078400.

The previous prime is 3273006661. The next prime is 3273006677. The reversal of 3273006672 is 2766003723.

It can be written as a sum of positive squares in 2 ways, for example, as 1277061696 + 1995944976 = 35736^2 + 44676^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3273006677) by changing a digit.

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, 872329 + ... + 876072.

Almost surely, 2^3273006672 is an apocalyptic number.

It is an amenable number.

3273006672 is an abundant number, since it is smaller than the sum of its proper divisors (6591477412).

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

3273006672 is a wasteful number, since it uses less digits than its factorization.

3273006672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748428 (or 1748419 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 3273006672 is about 57210.1972728639. The cubic root of 3273006672 is about 1484.7350586758.

The spelling of 3273006672 in words is "three billion, two hundred seventy-three million, six thousand, six hundred seventy-two".