3447045760 has 128 divisors (see below), whose sum is σ = 8382735360. Its totient is φ = 1355304960.

The previous prime is 3447045751. The next prime is 3447045761. The reversal of 3447045760 is 675407443.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3447045761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18047265 + ... + 18047455.

It is an arithmetic number, because the mean of its divisors is an integer number (65490120).

Almost surely, 2^3447045760 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 3447045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191367680).

3447045760 is an abundant number, since it is smaller than the sum of its proper divisors (4935689600).

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

3447045760 is a wasteful number, since it uses less digits than its factorization.

3447045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The square root of 3447045760 is about 58711.5470755115. The cubic root of 3447045760 is about 1510.5983857067.

It can be divided in two parts, 344704 and 5760, that added together give a square (350464 = 592²).

The spelling of 3447045760 in words is "three billion, four hundred forty-seven million, forty-five thousand, seven hundred sixty".