3340314432 has 168 divisors, whose sum is σ = 11784071936. Its totient is φ = 880948224.

The previous prime is 3340314431. The next prime is 3340314451. The reversal of 3340314432 is 2344130433.

3340314432 is a `hidden beast` number, since 3 + 340 + 314 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3340314432² = 22315401009254965248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3340314396 and 3340314405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340314431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20553 + ... + 84279.

Almost surely, 2^3340314432 is an apocalyptic number.

3340314432 is a gapful number since it is divisible by the number (32) 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 3340314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892035968).

3340314432 is an abundant number, since it is smaller than the sum of its proper divisors (8443757504).

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

3340314432 is a wasteful number, since it uses less digits than its factorization.

3340314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63765 (or 63752 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3340314432 is about 57795.4533851929. The cubic root of 3340314432 is about 1494.8436926397.

Adding to 3340314432 its reverse (2344130433), we get a palindrome (5684444865).

The spelling of 3340314432 in words is "three billion, three hundred forty million, three hundred fourteen thousand, four hundred thirty-two".