3380470080 has 224 divisors, whose sum is σ = 12062179584. Its totient is φ = 795869184.

The previous prime is 3380470039. The next prime is 3380470087. The reversal of 3380470080 is 800740833.

It is a super-2 number, since 2×3380470080² = 22855155923550412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380470087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281152 + ... + 292928.

It is an arithmetic number, because the mean of its divisors is an integer number (53849016).

Almost surely, 2^3380470080 is an apocalyptic number.

3380470080 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 3380470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031089792).

3380470080 is an abundant number, since it is smaller than the sum of its proper divisors (8681709504).

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

3380470080 is a wasteful number, since it uses less digits than its factorization.

3380470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11833 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3380470080 is about 58141.8100853422. The cubic root of 3380470080 is about 1500.8099448031.

The spelling of 3380470080 in words is "three billion, three hundred eighty million, four hundred seventy thousand, eighty".