349690000 has 225 divisors, whose sum is σ = 988559341. Its totient is φ = 119680000.

The previous prime is 349689971. The next prime is 349690001. The reversal of 349690000 is 96943.

The square root of 349690000 is 18700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 170772624 + 178917376 = 13068^2 + 13376^2 .

It is a super-2 number, since 2×349690000² = 244566192200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349690001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20569992 + ... + 20570008.

Almost surely, 2^349690000 is an apocalyptic number.

349690000 is the 18700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349690000

349690000 is an abundant number, since it is smaller than the sum of its proper divisors (638869341).

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

349690000 is a wasteful number, since it uses less digits than its factorization.

349690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The cubic root of 349690000 is about 704.5217486427.

The spelling of 349690000 in words is "three hundred forty-nine million, six hundred ninety thousand".