3324000080 has 80 divisors (see below), whose sum is σ = 7952772240. Its totient is φ = 1291124736.

The previous prime is 3324000059. The next prime is 3324000091. The reversal of 3324000080 is 800004233.

It can be written as a sum of positive squares in 8 ways, for example, as 115004176 + 3208995904 = 10724^2 + 56648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3324000080² = 22097953063680012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2358416 + ... + 2359824.

It is an arithmetic number, because the mean of its divisors is an integer number (99409653).

Almost surely, 2^3324000080 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 3324000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976386120).

3324000080 is an abundant number, since it is smaller than the sum of its proper divisors (4628772160).

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

3324000080 is a wasteful number, since it uses less digits than its factorization.

3324000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3324000080 is about 57654.1419153906. The cubic root of 3324000080 is about 1492.4060760533.

The spelling of 3324000080 in words is "three billion, three hundred twenty-four million, eighty", and thus it is an aban number.