3386832344 has 128 divisors (see below), whose sum is σ = 7894195200. Its totient is φ = 1329377280.

The previous prime is 3386832343. The next prime is 3386832353. The reversal of 3386832344 is 4432386833.

It is a happy number.

It is a super-2 number, since 2×3386832344² = 22941266652729068672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3386832295 and 3386832304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386832343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6015407 + ... + 6015969.

It is an arithmetic number, because the mean of its divisors is an integer number (61673400).

Almost surely, 2^3386832344 is an apocalyptic number.

3386832344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3386832344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947097600).

3386832344 is an abundant number, since it is smaller than the sum of its proper divisors (4507362856).

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

3386832344 is a wasteful number, since it uses less digits than its factorization.

3386832344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 749 counting only the distinct ones).

The product of its digits is 995328, while the sum is 44.

The square root of 3386832344 is about 58196.4976953081. The cubic root of 3386832344 is about 1501.7508953004.

The spelling of 3386832344 in words is "three billion, three hundred eighty-six million, eight hundred thirty-two thousand, three hundred forty-four".