349009440 has 96 divisors (see below), whose sum is σ = 1183968576. Its totient is φ = 85908480.

The previous prime is 349009433. The next prime is 349009447. The reversal of 349009440 is 44900943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (349009433) and next prime (349009447).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×349009440² = 243615178418227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349009447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21726 + ... + 34205.

It is an arithmetic number, because the mean of its divisors is an integer number (12333006).

Almost surely, 2^349009440 is an apocalyptic number.

349009440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349009440 is an abundant number, since it is smaller than the sum of its proper divisors (834959136).

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

349009440 is a wasteful number, since it uses less digits than its factorization.

349009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55962 (or 55954 counting only the distinct ones).

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

The square root of 349009440 is about 18681.7943463683. The cubic root of 349009440 is about 704.0644095684.

The spelling of 349009440 in words is "three hundred forty-nine million, nine thousand, four hundred forty".