3449400144 has 80 divisors (see below), whose sum is σ = 9598195200. Its totient is φ = 1063939968.

The previous prime is 3449400139. The next prime is 3449400173. The reversal of 3449400144 is 4410049443.

3449400144 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 2×3449400144² = 23796722706854441472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4764 + ... + 83195.

It is an arithmetic number, because the mean of its divisors is an integer number (119977440).

Almost surely, 2^3449400144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3449400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799097600).

3449400144 is an abundant number, since it is smaller than the sum of its proper divisors (6148795056).

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

3449400144 is a wasteful number, since it uses less digits than its factorization.

3449400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88032 (or 88026 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3449400144 is about 58731.5940869989. The cubic root of 3449400144 is about 1510.9422278934.

Adding to 3449400144 its reverse (4410049443), we get a palindrome (7859449587).

The spelling of 3449400144 in words is "three billion, four hundred forty-nine million, four hundred thousand, one hundred forty-four".