349042138000 has 40 divisors (see below), whose sum is σ = 843983894520. Its totient is φ = 139616854400.

The previous prime is 349042137971. The next prime is 349042138033. The reversal of 349042138000 is 831240943.

It can be written as a sum of positive squares in 4 ways, for example, as 5003581696 + 344038556304 = 70736^2 + 586548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×349042138000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87258535 + ... + 87262534.

It is an arithmetic number, because the mean of its divisors is an integer number (21099597363).

Almost surely, 2^349042138000 is an apocalyptic number.

It is an amenable number.

349042138000 is an abundant number, since it is smaller than the sum of its proper divisors (494941756520).

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

349042138000 is a wasteful number, since it uses less digits than its factorization.

349042138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174521092 (or 174521076 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 349042138000 its reverse (831240943), we get a palindrome (349873378943).

The spelling of 349042138000 in words is "three hundred forty-nine billion, forty-two million, one hundred thirty-eight thousand".