343085694336 has 1440 divisors, whose sum is σ = 1360290068280. Its totient is φ = 84861665280.

The previous prime is 343085694271. The next prime is 343085694349. The reversal of 343085694336 is 633496580343.

It is a happy number.

343085694336 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 8 + 569 + 43 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4699803996 + ... + 4699804068.

Almost surely, 2^343085694336 is an apocalyptic number.

343085694336 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 343085694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680145034140).

343085694336 is an abundant number, since it is smaller than the sum of its proper divisors (1017204373944).

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

343085694336 is a wasteful number, since it uses less digits than its factorization.

343085694336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 343085694336 in words is "three hundred forty-three billion, eighty-five million, six hundred ninety-four thousand, three hundred thirty-six".