3447097344 has 384 divisors, whose sum is σ = 11439792000. Its totient is φ = 1019215872.

The previous prime is 3447097343. The next prime is 3447097349. The reversal of 3447097344 is 4437907443.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3447097344.

It is not an unprimeable number, because it can be changed into a prime (3447097343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17860512 + ... + 17860704.

It is an arithmetic number, because the mean of its divisors is an integer number (29791125).

Almost surely, 2^3447097344 is an apocalyptic number.

3447097344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3447097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719896000).

3447097344 is an abundant number, since it is smaller than the sum of its proper divisors (7992694656).

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

3447097344 is a wasteful number, since it uses less digits than its factorization.

3447097344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3447097344 is about 58711.9863741638. The cubic root of 3447097344 is about 1510.6059208855.

The spelling of 3447097344 in words is "three billion, four hundred forty-seven million, ninety-seven thousand, three hundred forty-four".