3343114432400 has 120 divisors (see below), whose sum is σ = 8382973158504. Its totient is φ = 1280014028800.

The previous prime is 3343114432351. The next prime is 3343114432409. The reversal of 3343114432400 is 42344113433.

It can be written as a sum of positive squares in 12 ways, for example, as 336413920144 + 3006700512256 = 580012^2 + 1733984^2 .

It is a super-2 number, since 2×3343114432400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3343114432409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053899 + ... + 2792298.

Almost surely, 2^{3343114432400} is an apocalyptic number.

It is an amenable number.

3343114432400 is an abundant number, since it is smaller than the sum of its proper divisors (5039858726104).

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

3343114432400 is a wasteful number, since it uses less digits than its factorization.

3343114432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846309 (or 3846298 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 3343114432400 its reverse (42344113433), we get a palindrome (3385458545833).

The spelling of 3343114432400 in words is "three trillion, three hundred forty-three billion, one hundred fourteen million, four hundred thirty-two thousand, four hundred".