3345515140 has 96 divisors (see below), whose sum is σ = 8024438016. Its totient is φ = 1159741440.

The previous prime is 3345515123. The next prime is 3345515141. The reversal of 3345515140 is 415155433.

It is a super-3 number, since 3×3345515140³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3345515141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1785244 + ... + 1787116.

It is an arithmetic number, because the mean of its divisors is an integer number (83587896).

Almost surely, 2^3345515140 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 3345515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012219008).

3345515140 is an abundant number, since it is smaller than the sum of its proper divisors (4678922876).

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

3345515140 is a wasteful number, since it uses less digits than its factorization.

3345515140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 3345515140 is about 57840.4282487604. The cubic root of 3345515140 is about 1495.6190901347.

The spelling of 3345515140 in words is "three billion, three hundred forty-five million, five hundred fifteen thousand, one hundred forty".