349785587943 has 162 divisors, whose sum is σ = 601539336216. Its totient is φ = 195340464000.

The previous prime is 349785587941. The next prime is 349785588013.

349785587943 is a `hidden beast` number, since 3 + 497 + 8 + 55 + 87 + 9 + 4 + 3 = 666.

349785587943 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 349785587943 - 2¹ = 349785587941 is a prime.

Its product of digits (914457600) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349785587941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3463223593 + ... + 3463223693.

Almost surely, 2^349785587943 is an apocalyptic number.

349785587943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

349785587943 is a deficient number, since it is larger than the sum of its proper divisors (251753748273).

349785587943 is a wasteful number, since it uses less digits than its factorization.

349785587943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 175 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 349785587943 in words is "three hundred forty-nine billion, seven hundred eighty-five million, five hundred eighty-seven thousand, nine hundred forty-three".