3305442400 has 72 divisors (see below), whose sum is σ = 8690162544. Its totient is φ = 1220467200.

The previous prime is 3305442383. The next prime is 3305442431. The reversal of 3305442400 is 42445033.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148516 + ... + 169315.

It is an arithmetic number, because the mean of its divisors is an integer number (120696702).

Almost surely, 2^3305442400 is an apocalyptic number.

It is an amenable number.

3305442400 is an abundant number, since it is smaller than the sum of its proper divisors (5384720144).

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

3305442400 is a wasteful number, since it uses less digits than its factorization.

3305442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317864 (or 317851 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3305442400 is about 57492.9769624082. The cubic root of 3305442400 is about 1489.6235554866.

Adding to 3305442400 its reverse (42445033), we get a palindrome (3347887433).

The spelling of 3305442400 in words is "three billion, three hundred five million, four hundred forty-two thousand, four hundred".