349134720 has 256 divisors, whose sum is σ = 1238492160. Its totient is φ = 82944000.

The previous prime is 349134713. The next prime is 349134727. The reversal of 349134720 is 27431943.

It is an interprime number because it is at equal distance from previous prime (349134713) and next prime (349134727).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349134727) 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, 1288185 + ... + 1288455.

It is an arithmetic number, because the mean of its divisors is an integer number (4837860).

Almost surely, 2^349134720 is an apocalyptic number.

349134720 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 349134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619246080).

349134720 is an abundant number, since it is smaller than the sum of its proper divisors (889357440).

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

349134720 is a wasteful number, since it uses less digits than its factorization.

349134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 349134720 is about 18685.1470425041. The cubic root of 349134720 is about 704.1486428557.

The spelling of 349134720 in words is "three hundred forty-nine million, one hundred thirty-four thousand, seven hundred twenty".