3430329120 has 72 divisors (see below), whose sum is σ = 11706003036. Its totient is φ = 914754048.

The previous prime is 3430329113. The next prime is 3430329191. The reversal of 3430329120 is 219230343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3286040976 + 144288144 = 57324^2 + 12012^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1189647 + ... + 1192526.

Almost surely, 2^3430329120 is an apocalyptic number.

3430329120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3430329120 is an abundant number, since it is smaller than the sum of its proper divisors (8275673916).

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

3430329120 is a wasteful number, since it uses less digits than its factorization.

3430329120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382194 (or 2382183 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3430329120 is about 58569.0116016994. The cubic root of 3430329120 is about 1508.1525173670.

Adding to 3430329120 its reverse (219230343), we get a palindrome (3649559463).

The spelling of 3430329120 in words is "three billion, four hundred thirty million, three hundred twenty-nine thousand, one hundred twenty".