3430542336 has 352 divisors, whose sum is σ = 10828597248. Its totient is φ = 955514880.

The previous prime is 3430542331. The next prime is 3430542337. The reversal of 3430542336 is 6332450343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3430542297 and 3430542306.

It is not an unprimeable number, because it can be changed into a prime (3430542331) 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, 21046191 + ... + 21046353.

Almost surely, 2^3430542336 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 3430542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414298624).

3430542336 is an abundant number, since it is smaller than the sum of its proper divisors (7398054912).

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

3430542336 is a wasteful number, since it uses less digits than its factorization.

3430542336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

The square root of 3430542336 is about 58570.8317851130. The cubic root of 3430542336 is about 1508.1837636968.

Adding to 3430542336 its reverse (6332450343), we get a palindrome (9762992679).

The spelling of 3430542336 in words is "three billion, four hundred thirty million, five hundred forty-two thousand, three hundred thirty-six".