349543340685 has 640 divisors, whose sum is σ = 845719142400. Its totient is φ = 136711411200.

The previous prime is 349543340669. The next prime is 349543340749. The reversal of 349543340685 is 586043345943.

349543340685 is a `hidden beast` number, since 3 + 4 + 9 + 543 + 34 + 0 + 68 + 5 = 666.

It is not a de Polignac number, because 349543340685 - 2⁴ = 349543340669 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2226390627 + ... + 2226390783.

It is an arithmetic number, because the mean of its divisors is an integer number (1321436160).

Almost surely, 2^349543340685 is an apocalyptic number.

349543340685 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

349543340685 is an abundant number, since it is smaller than the sum of its proper divisors (496175801715).

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

349543340685 is a wasteful number, since it uses less digits than its factorization.

349543340685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 349543340685 in words is "three hundred forty-nine billion, five hundred forty-three million, three hundred forty thousand, six hundred eighty-five".