3348800 has 168 divisors, whose sum is σ = 10582656. Its totient is φ = 1013760.

The previous prime is 3348773. The next prime is 3348809. The reversal of 3348800 is 88433.

3348800 = 5³ + 6³ + ... + 60³.

It is a super-2 number, since 2×3348800² = 22428922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3348800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3348809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145589 + ... + 145611.

It is an arithmetic number, because the mean of its divisors is an integer number (62992).

Almost surely, 2^3348800 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 3348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291328).

3348800 is an abundant number, since it is smaller than the sum of its proper divisors (7233856).

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

3348800 is a wasteful number, since it uses less digits than its factorization.

3348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3348800 is about 1829.9726773917. The cubic root of 3348800 is about 149.6108431044.

The spelling of 3348800 in words is "three million, three hundred forty-eight thousand, eight hundred".