3345332760 has 768 divisors, whose sum is σ = 14880153600. Its totient is φ = 630374400.

The previous prime is 3345332759. The next prime is 3345332761. The reversal of 3345332760 is 672335433.

3345332760 is a `hidden beast` number, since 334 + 53 + 3 + 276 + 0 = 666.

3345332760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3345332759) and next prime (3345332761).

It is a super-2 number, since 2×3345332760² = 22382502550258435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345332761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14608326 + ... + 14608554.

It is an arithmetic number, because the mean of its divisors is an integer number (19375200).

Almost surely, 2^3345332760 is an apocalyptic number.

3345332760 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 3345332760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440076800).

3345332760 is an abundant number, since it is smaller than the sum of its proper divisors (11534820840).

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

3345332760 is a wasteful number, since it uses less digits than its factorization.

3345332760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The square root of 3345332760 is about 57838.8516483514. The cubic root of 3345332760 is about 1495.5919118622.

The spelling of 3345332760 in words is "three billion, three hundred forty-five million, three hundred thirty-two thousand, seven hundred sixty".