3397889664 has 288 divisors, whose sum is σ = 10948728960. Its totient is φ = 1009981440.

The previous prime is 3397889653. The next prime is 3397889711. The reversal of 3397889664 is 4669887933.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6035047 + ... + 6035609.

It is an arithmetic number, because the mean of its divisors is an integer number (38016420).

Almost surely, 2^3397889664 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 3397889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474364480).

3397889664 is an abundant number, since it is smaller than the sum of its proper divisors (7550839296).

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

3397889664 is a wasteful number, since it uses less digits than its factorization.

3397889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 612 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 3397889664 is about 58291.4201576870. The cubic root of 3397889664 is about 1503.3834238905.

The spelling of 3397889664 in words is "three billion, three hundred ninety-seven million, eight hundred eighty-nine thousand, six hundred sixty-four".