3205442400 has 144 divisors (see below), whose sum is σ = 10535825664. Its totient is φ = 846420480.

The previous prime is 3205442399. The next prime is 3205442417. The reversal of 3205442400 is 42445023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240717 + ... + 253683.

It is an arithmetic number, because the mean of its divisors is an integer number (73165456).

Almost surely, 2^3205442400 is an apocalyptic number.

3205442400 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 3205442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267912832).

3205442400 is an abundant number, since it is smaller than the sum of its proper divisors (7330383264).

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

3205442400 is a wasteful number, since it uses less digits than its factorization.

3205442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13093 (or 13080 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3205442400 is about 56616.6265332014. The cubic root of 3205442400 is about 1474.4475418350.

Adding to 3205442400 its reverse (42445023), we get a palindrome (3247887423).

The spelling of 3205442400 in words is "three billion, two hundred five million, four hundred forty-two thousand, four hundred".