3345352704 has 192 divisors, whose sum is σ = 10024560000. Its totient is φ = 1102233600.

The previous prime is 3345352651. The next prime is 3345352709. The reversal of 3345352704 is 4072535433.

3345352704 is a `hidden beast` number, since 334 + 53 + 5 + 270 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3345352704² = 22382769428320223232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3345352709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5584597 + ... + 5585195.

It is an arithmetic number, because the mean of its divisors is an integer number (52211250).

Almost surely, 2^3345352704 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 3345352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280000).

3345352704 is an abundant number, since it is smaller than the sum of its proper divisors (6679207296).

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

3345352704 is a wasteful number, since it uses less digits than its factorization.

3345352704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The square root of 3345352704 is about 57839.0240581564. The cubic root of 3345352704 is about 1495.5948839657.

The spelling of 3345352704 in words is "three billion, three hundred forty-five million, three hundred fifty-two thousand, seven hundred four".