3358800 has 120 divisors (see below), whose sum is σ = 11993280. Its totient is φ = 892800.

The previous prime is 3358799. The next prime is 3358841. The reversal of 3358800 is 88533.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3358800² = 22563074880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10645 + ... + 10955.

It is an arithmetic number, because the mean of its divisors is an integer number (99944).

Almost surely, 2^3358800 is an apocalyptic number.

3358800 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 3358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996640).

3358800 is an abundant number, since it is smaller than the sum of its proper divisors (8634480).

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

3358800 is a wasteful number, since it uses less digits than its factorization.

3358800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3358800 is about 1832.7029219162. The cubic root of 3358800 is about 149.7596149727.

The spelling of 3358800 in words is "three million, three hundred fifty-eight thousand, eight hundred".