3444221400 has 96 divisors (see below), whose sum is σ = 10937581200. Its totient is φ = 896051200.

The previous prime is 3444221357. The next prime is 3444221401. The reversal of 3444221400 is 41224443.

It is a happy number.

3444221400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3444221400² = 23725322104435920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444221401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45405 + ... + 94604.

Almost surely, 2^3444221400 is an apocalyptic number.

3444221400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3444221400 is an abundant number, since it is smaller than the sum of its proper divisors (7493359800).

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

3444221400 is a wasteful number, since it uses less digits than its factorization.

3444221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140069 (or 140060 counting only the distinct ones).

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

The square root of 3444221400 is about 58687.4892971236. The cubic root of 3444221400 is about 1510.1857000101.

Adding to 3444221400 its reverse (41224443), we get a palindrome (3485445843).

The spelling of 3444221400 in words is "three billion, four hundred forty-four million, two hundred twenty-one thousand, four hundred".