3306804480 has 288 divisors, whose sum is σ = 13411910400. Its totient is φ = 755785728.

The previous prime is 3306804439. The next prime is 3306804509. The reversal of 3306804480 is 844086033.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235086 + ... + 248754.

Almost surely, 2^3306804480 is an apocalyptic number.

3306804480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705955200).

3306804480 is an abundant number, since it is smaller than the sum of its proper divisors (10105105920).

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

3306804480 is a wasteful number, since it uses less digits than its factorization.

3306804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13706 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3306804480 is about 57504.8213630822. The cubic root of 3306804480 is about 1489.8281380684.

The spelling of 3306804480 in words is "three billion, three hundred six million, eight hundred four thousand, four hundred eighty".