3384352576 has 84 divisors (see below), whose sum is σ = 7455282016. Its totient is φ = 1523047680.

The previous prime is 3384352507. The next prime is 3384352579. The reversal of 3384352576 is 6752534833.

It is a super-2 number, since 2×3384352576² = 22907684717355671552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384352579) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795511 + ... + 799753.

Almost surely, 2^3384352576 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 3384352576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727641008).

3384352576 is an abundant number, since it is smaller than the sum of its proper divisors (4070929440).

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

3384352576 is a wasteful number, since it uses less digits than its factorization.

3384352576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4359 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 46.

The square root of 3384352576 is about 58175.1886632093. The cubic root of 3384352576 is about 1501.3842889180.

The spelling of 3384352576 in words is "three billion, three hundred eighty-four million, three hundred fifty-two thousand, five hundred seventy-six".