349061291677 has 96 divisors (see below), whose sum is σ = 443776040960. Its totient is φ = 268540272000.

The previous prime is 349061291641. The next prime is 349061291749. The reversal of 349061291677 is 776192160943.

It is a de Polignac number, because none of the positive numbers 2^k-349061291677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349061291977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553187152 + ... + 553187782.

Almost surely, 2^349061291677 is an apocalyptic number.

It is an amenable number.

349061291677 is a deficient number, since it is larger than the sum of its proper divisors (94714749283).

349061291677 is a wasteful number, since it uses less digits than its factorization.

349061291677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 55.

The spelling of 349061291677 in words is "three hundred forty-nine billion, sixty-one million, two hundred ninety-one thousand, six hundred seventy-seven".