3305400 has 96 divisors (see below), whose sum is σ = 11725440. Its totient is φ = 754560.

The previous prime is 3305389. The next prime is 3305417. The reversal of 3305400 is 45033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3305400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3807 + ... + 4593.

It is an arithmetic number, because the mean of its divisors is an integer number (122140).

Almost surely, 2^3305400 is an apocalyptic number.

3305400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3305400 is the 1050-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862720).

3305400 is an abundant number, since it is smaller than the sum of its proper divisors (8420040).

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

3305400 is a wasteful number, since it uses less digits than its factorization.

3305400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 3305400 is about 1818.0759060061. The cubic root of 3305400 is about 148.9617186162.

The spelling of 3305400 in words is "three million, three hundred five thousand, four hundred".