3412342080 has 336 divisors, whose sum is σ = 13912778880. Its totient is φ = 779839488.

The previous prime is 3412342067. The next prime is 3412342117. The reversal of 3412342080 is 802432143.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 541186 + ... + 547454.

It is an arithmetic number, because the mean of its divisors is an integer number (41407080).

Almost surely, 2^3412342080 is an apocalyptic number.

3412342080 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 3412342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956389440).

3412342080 is an abundant number, since it is smaller than the sum of its proper divisors (10500436800).

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

3412342080 is an equidigital number, since it uses as much as digits as its factorization.

3412342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3412342080 is about 58415.2555416819. The cubic root of 3412342080 is about 1505.5118813014.

The spelling of 3412342080 in words is "three billion, four hundred twelve million, three hundred forty-two thousand, eighty".