349766340 has 96 divisors (see below), whose sum is σ = 1221018624. Its totient is φ = 72677760.

The previous prime is 349766309. The next prime is 349766341. The reversal of 349766340 is 43667943.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 349766292 and 349766301.

It is not an unprimeable number, because it can be changed into a prime (349766341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33234 + ... + 42473.

It is an arithmetic number, because the mean of its divisors is an integer number (12718944).

Almost surely, 2^349766340 is an apocalyptic number.

349766340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349766340 is an abundant number, since it is smaller than the sum of its proper divisors (871252284).

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

349766340 is a wasteful number, since it uses less digits than its factorization.

349766340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75737 (or 75735 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 349766340 is about 18702.0410650816. The cubic root of 349766340 is about 704.5730124068.

The spelling of 349766340 in words is "three hundred forty-nine million, seven hundred sixty-six thousand, three hundred forty".