3345196320 has 288 divisors, whose sum is σ = 11973806208. Its totient is φ = 881860608.

The previous prime is 3345196289. The next prime is 3345196343. The reversal of 3345196320 is 236915433.

It is a happy number.

3345196320 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 19 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3345196320³ (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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3770917 + ... + 3771803.

It is an arithmetic number, because the mean of its divisors is an integer number (41575716).

Almost surely, 2^3345196320 is an apocalyptic number.

3345196320 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 3345196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986903104).

3345196320 is an abundant number, since it is smaller than the sum of its proper divisors (8628609888).

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

3345196320 is an equidigital number, since it uses as much as digits as its factorization.

3345196320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3345196320 is about 57837.6721523265. The cubic root of 3345196320 is about 1495.5715789238.

The spelling of 3345196320 in words is "three billion, three hundred forty-five million, one hundred ninety-six thousand, three hundred twenty".