341434020960 has 192 divisors, whose sum is σ = 1195544448000. Its totient is φ = 91009046016.

The previous prime is 341434020931. The next prime is 341434020971. The reversal of 341434020960 is 69020434143.

It is a happy number.

341434020960 is a `hidden beast` number, since 3 + 414 + 34 + 0 + 209 + 6 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10554891 + ... + 10587189.

It is an arithmetic number, because the mean of its divisors is an integer number (6226794000).

Almost surely, 2^341434020960 is an apocalyptic number.

341434020960 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 341434020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597772224000).

341434020960 is an abundant number, since it is smaller than the sum of its proper divisors (854110427040).

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

341434020960 is a wasteful number, since it uses less digits than its factorization.

341434020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34770 (or 34756 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 341434020960 in words is "three hundred forty-one billion, four hundred thirty-four million, twenty thousand, nine hundred sixty".