3447143083944 has 768 divisors, whose sum is σ = 11677656211200. Its totient is φ = 950382720000.

The previous prime is 3447143083927. The next prime is 3447143083949. The reversal of 3447143083944 is 4493803417443.

It is a happy number.

3447143083944 is a `hidden beast` number, since 3 + 4 + 47 + 1 + 430 + 83 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3447143083949) 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, 3550095379 + ... + 3550096349.

It is an arithmetic number, because the mean of its divisors is an integer number (15205281525).

Almost surely, 2^{3447143083944} 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 3447143083944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838828105600).

3447143083944 is an abundant number, since it is smaller than the sum of its proper divisors (8230513127256).

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

3447143083944 is a wasteful number, since it uses less digits than its factorization.

3447143083944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3447143083944 in words is "three trillion, four hundred forty-seven billion, one hundred forty-three million, eighty-three thousand, nine hundred forty-four".