3443414400 has 144 divisors (see below), whose sum is σ = 12286994460. Its totient is φ = 918236160.

The previous prime is 3443414369. The next prime is 3443414411. The reversal of 3443414400 is 44143443.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30982 + ... + 88581.

Almost surely, 2^3443414400 is an apocalyptic number.

3443414400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3443414400 is an abundant number, since it is smaller than the sum of its proper divisors (8843580060).

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

3443414400 is a wasteful number, since it uses less digits than its factorization.

3443414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119593 (or 119573 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3443414400 is about 58680.6134937255. The cubic root of 3443414400 is about 1510.0677425276.

Adding to 3443414400 its reverse (44143443), we get a palindrome (3487557843).

The spelling of 3443414400 in words is "three billion, four hundred forty-three million, four hundred fourteen thousand, four hundred".