3412442400 has 144 divisors (see below), whose sum is σ = 11126662848. Its totient is φ = 908416000.

The previous prime is 3412442387. The next prime is 3412442417. The reversal of 3412442400 is 42442143.

It is a happy number.

3412442400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2257645 + ... + 2259155.

It is an arithmetic number, because the mean of its divisors is an integer number (77268492).

Almost surely, 2^3412442400 is an apocalyptic number.

3412442400 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 3412442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563331424).

3412442400 is an abundant number, since it is smaller than the sum of its proper divisors (7714220448).

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

3412442400 is a wasteful number, since it uses less digits than its factorization.

3412442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3412442400 is about 58416.1142151718. The cubic root of 3412442400 is about 1505.5266347531.

Adding to 3412442400 its reverse (42442143), we get a palindrome (3454884543).

The spelling of 3412442400 in words is "three billion, four hundred twelve million, four hundred forty-two thousand, four hundred".