3444614894448 has 960 divisors, whose sum is σ = 13086362419200. Its totient is φ = 868841842176.

The previous prime is 3444614894447. The next prime is 3444614894467. The reversal of 3444614894448 is 8444984164443.

It is a happy number.

3444614894448 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 61 + 48 + 94 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444614894443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 512664433 + ... + 512671151.

It is an arithmetic number, because the mean of its divisors is an integer number (13631627520).

Almost surely, 2^{3444614894448} 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 3444614894448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543181209600).

3444614894448 is an abundant number, since it is smaller than the sum of its proper divisors (9641747524752).

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

3444614894448 is a wasteful number, since it uses less digits than its factorization.

3444614894448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798 (or 6767 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 63.

The spelling of 3444614894448 in words is "three trillion, four hundred forty-four billion, six hundred fourteen million, eight hundred ninety-four thousand, four hundred forty-eight".