3384114496 has 56 divisors (see below), whose sum is σ = 7714650560. Its totient is φ = 1442783232.

The previous prime is 3384114479. The next prime is 3384114497. The reversal of 3384114496 is 6944114833.

3384114496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3384114496² = 22904461844074668032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384114497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66895 + ... + 106033.

Almost surely, 2^3384114496 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 3384114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857325280).

3384114496 is an abundant number, since it is smaller than the sum of its proper divisors (4330536064).

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

3384114496 is a wasteful number, since it uses less digits than its factorization.

3384114496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39351 (or 39341 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The square root of 3384114496 is about 58173.1423940636. The cubic root of 3384114496 is about 1501.3490819918.

The spelling of 3384114496 in words is "three billion, three hundred eighty-four million, one hundred fourteen thousand, four hundred ninety-six".