346213346688 has 960 divisors, whose sum is σ = 1191324879360. Its totient is φ = 99632332800.

The previous prime is 346213346683. The next prime is 346213346719. The reversal of 346213346688 is 886643312643.

346213346688 is a `hidden beast` number, since 3 + 4 + 6 + 213 + 346 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346213346681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2726089281 + ... + 2726089407.

It is an arithmetic number, because the mean of its divisors is an integer number (1240963416).

Almost surely, 2^346213346688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346213346688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595662439680).

346213346688 is an abundant number, since it is smaller than the sum of its proper divisors (845111532672).

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

346213346688 is a wasteful number, since it uses less digits than its factorization.

346213346688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 237 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 346213346688 in words is "three hundred forty-six billion, two hundred thirteen million, three hundred forty-six thousand, six hundred eighty-eight".