3444414400 has 84 divisors (see below), whose sum is σ = 9686216848. Its totient is φ = 1180938240.

The previous prime is 3444414331. The next prime is 3444414431. The reversal of 3444414400 is 44144443.

3444414400 is digitally balanced in base 2, because in such base 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 (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142569 + ... + 164968.

Almost surely, 2^3444414400 is an apocalyptic number.

It is an amenable number.

3444414400 is an abundant number, since it is smaller than the sum of its proper divisors (6241802448).

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

3444414400 is a wasteful number, since it uses less digits than its factorization.

3444414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307566 (or 307551 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 3444414400 is about 58689.1335768386. The cubic root of 3444414400 is about 1510.2139076814.

Adding to 3444414400 its reverse (44144443), we get a palindrome (3488558843).

The spelling of 3444414400 in words is "three billion, four hundred forty-four million, four hundred fourteen thousand, four hundred".