349890688 has 32 divisors (see below), whose sum is σ = 796628160. Its totient is φ = 149952768.

The previous prime is 349890677. The next prime is 349890689. The reversal of 349890688 is 886098943.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×349890688² = 244846987098226688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349890689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194356 + ... + 196147.

It is an arithmetic number, because the mean of its divisors is an integer number (24894630).

Almost surely, 2^349890688 is an apocalyptic number.

It is an amenable number.

349890688 is an abundant number, since it is smaller than the sum of its proper divisors (446737472).

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

349890688 is an equidigital number, since it uses as much as digits as its factorization.

349890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390524 (or 390512 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The square root of 349890688 is about 18705.3652196369. The cubic root of 349890688 is about 704.6564984892.

The spelling of 349890688 in words is "three hundred forty-nine million, eight hundred ninety thousand, six hundred eighty-eight".