349035960 has 128 divisors (see below), whose sum is σ = 1288788480. Its totient is φ = 73640448.

The previous prime is 349035937. The next prime is 349035991. The reversal of 349035960 is 69530943.

It is a super-2 number, since 2×349035960² = 243652202746243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5062 + ... + 26901.

It is an arithmetic number, because the mean of its divisors is an integer number (10068660).

Almost surely, 2^349035960 is an apocalyptic number.

349035960 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 349035960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644394240).

349035960 is an abundant number, since it is smaller than the sum of its proper divisors (939752520).

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

349035960 is a wasteful number, since it uses less digits than its factorization.

349035960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31997 (or 31993 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 349035960 is about 18682.5041148129. The cubic root of 349035960 is about 704.0822422429.

The spelling of 349035960 in words is "three hundred forty-nine million, thirty-five thousand, nine hundred sixty".