3345300 has 180 divisors, whose sum is σ = 12603360. Its totient is φ = 751680.

The previous prime is 3345263. The next prime is 3345317. The reversal of 3345300 is 35433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×3345300² = 22382064180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56671 + ... + 56729.

Almost surely, 2^3345300 is an apocalyptic number.

3345300 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 3345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301680).

3345300 is an abundant number, since it is smaller than the sum of its proper divisors (9258060).

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

3345300 is a wasteful number, since it uses less digits than its factorization.

3345300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3345300 is about 1829.0161289611. The cubic root of 3345300 is about 149.5587029861.

The spelling of 3345300 in words is "three million, three hundred forty-five thousand, three hundred".