3449106144 has 96 divisors (see below), whose sum is σ = 10974458880. Its totient is φ = 1045180800.

The previous prime is 3449106121. The next prime is 3449106161. The reversal of 3449106144 is 4416019443.

It is a happy number.

3449106144 is a `hidden beast` number, since 34 + 4 + 9 + 1 + 0 + 614 + 4 = 666.

3449106144 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 tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3449106099 and 3449106108.

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, 171952 + ... + 190959.

It is an arithmetic number, because the mean of its divisors is an integer number (114317280).

Almost surely, 2^3449106144 is an apocalyptic number.

It is an amenable number.

3449106144 is an abundant number, since it is smaller than the sum of its proper divisors (7525352736).

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

3449106144 is a wasteful number, since it uses less digits than its factorization.

3449106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362941 (or 362927 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3449106144 is about 58729.0911218623. The cubic root of 3449106144 is about 1510.8992996916.

The spelling of 3449106144 in words is "three billion, four hundred forty-nine million, one hundred six thousand, one hundred forty-four".