3303049680 has 480 divisors, whose sum is σ = 14136595200. Its totient is φ = 672841728.

The previous prime is 3303049679. The next prime is 3303049693. The reversal of 3303049680 is 869403033.

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 95 ways as a sum of consecutive naturals, for example, 1626906 + ... + 1628934.

It is an arithmetic number, because the mean of its divisors is an integer number (29451240).

Almost surely, 2^3303049680 is an apocalyptic number.

3303049680 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 3303049680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068297600).

3303049680 is an abundant number, since it is smaller than the sum of its proper divisors (10833545520).

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

3303049680 is a wasteful number, since it uses less digits than its factorization.

3303049680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3303049680 is about 57472.1643928607. The cubic root of 3303049680 is about 1489.2640360426.

The spelling of 3303049680 in words is "three billion, three hundred three million, forty-nine thousand, six hundred eighty".