349092240 has 160 divisors (see below), whose sum is σ = 1276870656. Its totient is φ = 77207040.

The previous prime is 349092239. The next prime is 349092241. The reversal of 349092240 is 42290943.

It is an interprime number because it is at equal distance from previous prime (349092239) and next prime (349092241).

It is not an unprimeable number, because it can be changed into a prime (349092241) 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, 48729 + ... + 55431.

Almost surely, 2^349092240 is an apocalyptic number.

349092240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349092240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638435328).

349092240 is an abundant number, since it is smaller than the sum of its proper divisors (927778416).

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

349092240 is a wasteful number, since it uses less digits than its factorization.

349092240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6757 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 349092240 is about 18684.0102761693. The cubic root of 349092240 is about 704.1200832521.

The spelling of 349092240 in words is "three hundred forty-nine million, ninety-two thousand, two hundred forty".