3449888064 has 448 divisors, whose sum is σ = 12933273600. Its totient is φ = 877879296.

The previous prime is 3449888021. The next prime is 3449888069. The reversal of 3449888064 is 4608889443.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3449888064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3449888069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3906567 + ... + 3907449.

Almost surely, 2^3449888064 is an apocalyptic number.

3449888064 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 3449888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466636800).

3449888064 is an abundant number, since it is smaller than the sum of its proper divisors (9483385536).

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

3449888064 is a wasteful number, since it uses less digits than its factorization.

3449888064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 3449888064 is about 58735.7477521143. The cubic root of 3449888064 is about 1511.0134658038.

The spelling of 3449888064 in words is "three billion, four hundred forty-nine million, eight hundred eighty-eight thousand, sixty-four".