3444514944 has 256 divisors, whose sum is σ = 10289825280. Its totient is φ = 1014054912.

The previous prime is 3444514939. The next prime is 3444514951. The reversal of 3444514944 is 4494154443.

It is a junction number, because it is equal to n+sod(n) for n = 3444514896 and 3444514905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12434934 + ... + 12435210.

It is an arithmetic number, because the mean of its divisors is an integer number (40194630).

Almost surely, 2^3444514944 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 3444514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144912640).

3444514944 is an abundant number, since it is smaller than the sum of its proper divisors (6845310336).

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

3444514944 is a wasteful number, since it uses less digits than its factorization.

3444514944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 3444514944 is about 58689.9901516434. The cubic root of 3444514944 is about 1510.2286021454.

The spelling of 3444514944 in words is "three billion, four hundred forty-four million, five hundred fourteen thousand, nine hundred forty-four".