341057730816 has 576 divisors, whose sum is σ = 1160060590080. Its totient is φ = 97827840000.

The previous prime is 341057730809. The next prime is 341057730817. The reversal of 341057730816 is 618037750143.

341057730816 is a `hidden beast` number, since 3 + 41 + 0 + 577 + 30 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (341057730817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176621371 + ... + 176623301.

It is an arithmetic number, because the mean of its divisors is an integer number (2013994080).

Almost surely, 2^341057730816 is an apocalyptic number.

341057730816 is a gapful number since it is divisible by the number (36) 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 341057730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580030295040).

341057730816 is an abundant number, since it is smaller than the sum of its proper divisors (819002859264).

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

341057730816 is a wasteful number, since it uses less digits than its factorization.

341057730816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 341057730816 in words is "three hundred forty-one billion, fifty-seven million, seven hundred thirty thousand, eight hundred sixteen".