3345938816 has 128 divisors (see below), whose sum is σ = 7467379200. Its totient is φ = 1480550400.

The previous prime is 3345938809. The next prime is 3345938819. The reversal of 3345938816 is 6188395433.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3345938816² = 22390613120830963712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345938819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13999625 + ... + 13999863.

It is an arithmetic number, because the mean of its divisors is an integer number (58338900).

Almost surely, 2^3345938816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733689600).

3345938816 is an abundant number, since it is smaller than the sum of its proper divisors (4121440384).

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

3345938816 is a wasteful number, since it uses less digits than its factorization.

3345938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 50.

The square root of 3345938816 is about 57844.0905884084. The cubic root of 3345938816 is about 1495.6822225314.

The spelling of 3345938816 in words is "three billion, three hundred forty-five million, nine hundred thirty-eight thousand, eight hundred sixteen".