3430342080 has 672 divisors, whose sum is σ = 13979347200. Its totient is φ = 763084800.

The previous prime is 3430342073. The next prime is 3430342081. The reversal of 3430342080 is 802430343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430342081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24678651 + ... + 24678789.

It is an arithmetic number, because the mean of its divisors is an integer number (20802600).

Almost surely, 2^3430342080 is an apocalyptic number.

3430342080 is a gapful number since it is divisible by the number (30) 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 3430342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989673600).

3430342080 is an abundant number, since it is smaller than the sum of its proper divisors (10549005120).

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

3430342080 is a wasteful number, since it uses less digits than its factorization.

3430342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3430342080 is about 58569.1222403068. The cubic root of 3430342080 is about 1508.1544166631.

The spelling of 3430342080 in words is "three billion, four hundred thirty million, three hundred forty-two thousand, eighty".