3447728064 has 280 divisors, whose sum is σ = 11276673408. Its totient is φ = 1032860160.

The previous prime is 3447728059. The next prime is 3447728101. The reversal of 3447728064 is 4608277443.

3447728064 is a `hidden beast` number, since 3 + 447 + 72 + 80 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5873179 + ... + 5873765.

Almost surely, 2^3447728064 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 3447728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638336704).

3447728064 is an abundant number, since it is smaller than the sum of its proper divisors (7828945344).

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

3447728064 is a wasteful number, since it uses less digits than its factorization.

3447728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 3447728064 is about 58717.3574337265. The cubic root of 3447728064 is about 1510.6980477937.

It can be divided in two parts, 344772 and 8064, that added together give a square (352836 = 594²).

The spelling of 3447728064 in words is "three billion, four hundred forty-seven million, seven hundred twenty-eight thousand, sixty-four".