349240279148208 has 240 divisors, whose sum is σ = 1141842450461440. Its totient is φ = 97586488226304.

The previous prime is 349240279148207. The next prime is 349240279148227. The reversal of 349240279148208 is 802841972042943.

It is a happy number.

349240279148208 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 40 + 27 + 91 + 482 + 0 + 8 = 666.

It is a super-2 number, since 2×349240279148208² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (349240279148207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9213835 + ... + 27988842.

Almost surely, 2^{349240279148208} is an apocalyptic number.

It is an amenable number.

349240279148208 is an abundant number, since it is smaller than the sum of its proper divisors (792602171313232).

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

349240279148208 is a wasteful number, since it uses less digits than its factorization.

349240279148208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37202904 (or 37202895 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 349240279148208 in words is "three hundred forty-nine trillion, two hundred forty billion, two hundred seventy-nine million, one hundred forty-eight thousand, two hundred eight".