349294608 has 180 divisors, whose sum is σ = 1095025152. Its totient is φ = 103783680.

The previous prime is 349294607. The next prime is 349294657. The reversal of 349294608 is 806492943.

349294608 is a `hidden beast` number, since 34 + 9 + 2 + 9 + 4 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (349294607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 754185 + ... + 754647.

Almost surely, 2^349294608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349294608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547512576).

349294608 is an abundant number, since it is smaller than the sum of its proper divisors (745730544).

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

349294608 is a wasteful number, since it uses less digits than its factorization.

349294608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 349294608 is about 18689.4250312844. The cubic root of 349294608 is about 704.2561159216.

The spelling of 349294608 in words is "three hundred forty-nine million, two hundred ninety-four thousand, six hundred eight".