349834080 has 192 divisors, whose sum is σ = 1175731200. Its totient is φ = 87183360.

The previous prime is 349834057. The next prime is 349834081. The reversal of 349834080 is 80438943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349834081) 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, 811465 + ... + 811895.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^349834080 is an apocalyptic number.

349834080 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 349834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587865600).

349834080 is an abundant number, since it is smaller than the sum of its proper divisors (825897120).

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

349834080 is a wasteful number, since it uses less digits than its factorization.

349834080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 349834080 is about 18703.8520096797. The cubic root of 349834080 is about 704.6184948613.

The spelling of 349834080 in words is "three hundred forty-nine million, eight hundred thirty-four thousand, eighty".