349446607000 has 128 divisors (see below), whose sum is σ = 858531960000. Its totient is φ = 132943641600.

The previous prime is 349446606947. The next prime is 349446607001. The reversal of 349446607000 is 706644943.

It is a super-2 number, since 2×349446607000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349446607001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1853076 + ... + 2032924.

Almost surely, 2^349446607000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349446607000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429265980000).

349446607000 is an abundant number, since it is smaller than the sum of its proper divisors (509085353000).

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

349446607000 is a wasteful number, since it uses less digits than its factorization.

349446607000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179966 (or 179952 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 349446607000 in words is "three hundred forty-nine billion, four hundred forty-six million, six hundred seven thousand".