3343464960 has 320 divisors, whose sum is σ = 12279928320. Its totient is φ = 767508480.

The previous prime is 3343464947. The next prime is 3343464977. The reversal of 3343464960 is 694643433.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3343464960² = 22357515877495603200, which contains 22 as substring.

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, 1604079 + ... + 1606161.

It is an arithmetic number, because the mean of its divisors is an integer number (38374776).

Almost surely, 2^3343464960 is an apocalyptic number.

3343464960 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 3343464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139964160).

3343464960 is an abundant number, since it is smaller than the sum of its proper divisors (8936463360).

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

3343464960 is a wasteful number, since it uses less digits than its factorization.

3343464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The square root of 3343464960 is about 57822.7028078072. The cubic root of 3343464960 is about 1495.3135153790.

The spelling of 3343464960 in words is "three billion, three hundred forty-three million, four hundred sixty-four thousand, nine hundred sixty".