3344340480 has 640 divisors, whose sum is σ = 12704186880. Its totient is φ = 743178240.

The previous prime is 3344340449. The next prime is 3344340491. The reversal of 3344340480 is 840434433.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3344340480² = 22369226492333260800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77775339 + ... + 77775381.

It is an arithmetic number, because the mean of its divisors is an integer number (19850292).

Almost surely, 2^3344340480 is an apocalyptic number.

3344340480 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 3344340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352093440).

3344340480 is an abundant number, since it is smaller than the sum of its proper divisors (9359846400).

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

3344340480 is a wasteful number, since it uses less digits than its factorization.

3344340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 3344340480 is about 57830.2730410293. The cubic root of 3344340480 is about 1495.4440249599. Note that the first 3 decimals are identical.

The spelling of 3344340480 in words is "three billion, three hundred forty-four million, three hundred forty thousand, four hundred eighty".