3310339680 has 144 divisors (see below), whose sum is σ = 11602032624. Its totient is φ = 858885120.

The previous prime is 3310339601. The next prime is 3310339693. The reversal of 3310339680 is 869330133.

3310339680 is a `hidden beast` number, since 3 + 310 + 339 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 22215 + ... + 84345.

It is an arithmetic number, because the mean of its divisors is an integer number (80569671).

Almost surely, 2^3310339680 is an apocalyptic number.

3310339680 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 3310339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801016312).

3310339680 is an abundant number, since it is smaller than the sum of its proper divisors (8291692944).

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

3310339680 is a wasteful number, since it uses less digits than its factorization.

3310339680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62189 (or 62178 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3310339680 is about 57535.5514443027. The cubic root of 3310339680 is about 1490.3588583563.

The spelling of 3310339680 in words is "three billion, three hundred ten million, three hundred thirty-nine thousand, six hundred eighty".