3384497664 has 480 divisors, whose sum is σ = 11234995200. Its totient is φ = 975421440.

The previous prime is 3384497659. The next prime is 3384497687. The reversal of 3384497664 is 4667944833.

It is a super-2 number, since 2×3384497664² = 22909648875242913792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3384497664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78709227 + ... + 78709269.

It is an arithmetic number, because the mean of its divisors is an integer number (23406240).

Almost surely, 2^3384497664 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 3384497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617497600).

3384497664 is an abundant number, since it is smaller than the sum of its proper divisors (7850497536).

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

3384497664 is a wasteful number, since it uses less digits than its factorization.

3384497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 3384497664 is about 58176.4356419332. The cubic root of 3384497664 is about 1501.4057435119.

The spelling of 3384497664 in words is "three billion, three hundred eighty-four million, four hundred ninety-seven thousand, six hundred sixty-four".