3441312400 has 120 divisors (see below), whose sum is σ = 8440870464. Its totient is φ = 1348032000.

The previous prime is 3441312389. The next prime is 3441312437. The reversal of 3441312400 is 42131443.

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, 4160787 + ... + 4161613.

Almost surely, 2^3441312400 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 3441312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220435232).

3441312400 is an abundant number, since it is smaller than the sum of its proper divisors (4999558064).

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

3441312400 is a wasteful number, since it uses less digits than its factorization.

3441312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3441312400 is about 58662.7002447040. The cubic root of 3441312400 is about 1509.7604110900.

Adding to 3441312400 its reverse (42131443), we get a palindrome (3483443843).

The spelling of 3441312400 in words is "three billion, four hundred forty-one million, three hundred twelve thousand, four hundred".