3345516768 has 192 divisors, whose sum is σ = 10217104128. Its totient is φ = 947281920.

The previous prime is 3345516761. The next prime is 3345516787. The reversal of 3345516768 is 8676155433.

It is a super-3 number, since 3×3345516768³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345516761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2817871 + ... + 2819057.

It is an arithmetic number, because the mean of its divisors is an integer number (53214084).

Almost surely, 2^3345516768 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 3345516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108552064).

3345516768 is an abundant number, since it is smaller than the sum of its proper divisors (6871587360).

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

3345516768 is a wasteful number, since it uses less digits than its factorization.

3345516768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1377 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 3345516768 is about 57840.4423219602. The cubic root of 3345516768 is about 1495.6193327349.

The spelling of 3345516768 in words is "three billion, three hundred forty-five million, five hundred sixteen thousand, seven hundred sixty-eight".