349042144900 has 18 divisors (see below), whose sum is σ = 757421454650. Its totient is φ = 139616857920.

The previous prime is 349042144897. The next prime is 349042144931. The reversal of 349042144900 is 9441240943.

It can be written as a sum of positive squares in 3 ways, for example, as 2246001664 + 346796143236 = 47392^2 + 588894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1745210625 + ... + 1745210824.

Almost surely, 2^349042144900 is an apocalyptic number.

It is an amenable number.

349042144900 is an abundant number, since it is smaller than the sum of its proper divisors (408379309750).

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

349042144900 is a wasteful number, since it uses less digits than its factorization.

349042144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490421463 (or 3490421456 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 349042144900 in words is "three hundred forty-nine billion, forty-two million, one hundred forty-four thousand, nine hundred".