349890192 has 100 divisors (see below), whose sum is σ = 1072320876. Its totient is φ = 109762560.

The previous prime is 349890181. The next prime is 349890193. The reversal of 349890192 is 291098943.

It can be written as a sum of positive squares in 2 ways, for example, as 303595776 + 46294416 = 17424^2 + 6804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349890193) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14092 + ... + 29972.

Almost surely, 2^349890192 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 349890192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536160438).

349890192 is an abundant number, since it is smaller than the sum of its proper divisors (722430684).

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

349890192 is a wasteful number, since it uses less digits than its factorization.

349890192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15918 (or 15903 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 349890192 is about 18705.3519614040. The cubic root of 349890192 is about 704.6561655187.

The spelling of 349890192 in words is "three hundred forty-nine million, eight hundred ninety thousand, one hundred ninety-two".