3341467680 has 384 divisors, whose sum is σ = 11705057280. Its totient is φ = 797921280.

The previous prime is 3341467673. The next prime is 3341467721. The reversal of 3341467680 is 867641433.

It is a happy number.

It is a super-2 number, since 2×3341467680² = 22330812512969164800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14984049 + ... + 14984271.

It is an arithmetic number, because the mean of its divisors is an integer number (30481920).

Almost surely, 2^3341467680 is an apocalyptic number.

3341467680 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 3341467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852528640).

3341467680 is an abundant number, since it is smaller than the sum of its proper divisors (8363589600).

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

3341467680 is a wasteful number, since it uses less digits than its factorization.

3341467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3341467680 is about 57805.4295027725. The cubic root of 3341467680 is about 1495.0157051030.

The spelling of 3341467680 in words is "three billion, three hundred forty-one million, four hundred sixty-seven thousand, six hundred eighty".