3300890880 has 432 divisors, whose sum is σ = 12532532544. Its totient is φ = 738017280.

The previous prime is 3300890863. The next prime is 3300890899. The reversal of 3300890880 is 880980033.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9972315 + ... + 9972645.

It is an arithmetic number, because the mean of its divisors is an integer number (29010492).

Almost surely, 2^3300890880 is an apocalyptic number.

3300890880 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 3300890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266266272).

3300890880 is an abundant number, since it is smaller than the sum of its proper divisors (9231641664).

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

3300890880 is a wasteful number, since it uses less digits than its factorization.

3300890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 3300890880 is about 57453.3800572255. The cubic root of 3300890880 is about 1488.9395153532.

The spelling of 3300890880 in words is "three billion, three hundred million, eight hundred ninety thousand, eight hundred eighty".