3456471744 has 448 divisors, whose sum is σ = 11692615680. Its totient is φ = 992010240.

The previous prime is 3456471743. The next prime is 3456471779. The reversal of 3456471744 is 4471746543.

3456471744 is a `hidden beast` number, since 34 + 564 + 7 + 17 + 44 = 666.

3456471744 is a modest number, since divided by 471744 gives 3456 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 3456471744.

It is not an unprimeable number, because it can be changed into a prime (3456471743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47348892 + ... + 47348964.

Almost surely, 2^3456471744 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 3456471744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846307840).

3456471744 is an abundant number, since it is smaller than the sum of its proper divisors (8236143936).

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

3456471744 is a wasteful number, since it uses less digits than its factorization.

3456471744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 3456471744 is about 58791.7659540858. The cubic root of 3456471744 is about 1511.9740484334.

The spelling of 3456471744 in words is "three billion, four hundred fifty-six million, four hundred seventy-one thousand, seven hundred forty-four".