3320849664 has 432 divisors, whose sum is σ = 11356660224. Its totient is φ = 958003200.

The previous prime is 3320849647. The next prime is 3320849731. The reversal of 3320849664 is 4669480233.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3320849664² = 22056084981777825792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15738519 + ... + 15738729.

Almost surely, 2^3320849664 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 3320849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678330112).

3320849664 is an abundant number, since it is smaller than the sum of its proper divisors (8035810560).

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

3320849664 is a wasteful number, since it uses less digits than its factorization.

3320849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3320849664 is about 57626.8137588744. The cubic root of 3320849664 is about 1491.9344368596.

The spelling of 3320849664 in words is "three billion, three hundred twenty million, eight hundred forty-nine thousand, six hundred sixty-four".