3383654456 has 96 divisors (see below), whose sum is σ = 8019440640. Its totient is φ = 1309935744.

The previous prime is 3383654419. The next prime is 3383654459. The reversal of 3383654456 is 6544563833.

3383654456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3383654456² = 22898234955217311872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 3383654456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3383654459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441005 + ... + 448611.

It is an arithmetic number, because the mean of its divisors is an integer number (83535840).

Almost surely, 2^3383654456 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 3383654456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009720320).

3383654456 is an abundant number, since it is smaller than the sum of its proper divisors (4635786184).

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

3383654456 is a wasteful number, since it uses less digits than its factorization.

3383654456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7676 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 47.

The square root of 3383654456 is about 58169.1882013150. The cubic root of 3383654456 is about 1501.2810472634.

The spelling of 3383654456 in words is "three billion, three hundred eighty-three million, six hundred fifty-four thousand, four hundred fifty-six".