341429760 has 480 divisors, whose sum is σ = 1417141440. Its totient is φ = 74317824.

The previous prime is 341429741. The next prime is 341429783. The reversal of 341429760 is 67924143.

341429760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4677084 + ... + 4677156.

It is an arithmetic number, because the mean of its divisors is an integer number (2952378).

Almost surely, 2^341429760 is an apocalyptic number.

341429760 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 341429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708570720).

341429760 is an abundant number, since it is smaller than the sum of its proper divisors (1075711680).

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

341429760 is a wasteful number, since it uses less digits than its factorization.

341429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 341429760 is about 18477.8180530062. The cubic root of 341429760 is about 698.9301753213.

The spelling of 341429760 in words is "three hundred forty-one million, four hundred twenty-nine thousand, seven hundred sixty".