349604864 has 176 divisors, whose sum is σ = 896094720. Its totient is φ = 132710400.

The previous prime is 349604863. The next prime is 349604869. The reversal of 349604864 is 468406943.

It is not an unprimeable number, because it can be changed into a prime (349604863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2315189 + ... + 2315339.

Almost surely, 2^349604864 is an apocalyptic number.

349604864 is a gapful number since it is divisible by the number (34) 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 349604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448047360).

349604864 is an abundant number, since it is smaller than the sum of its proper divisors (546489856).

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

349604864 is a wasteful number, since it uses less digits than its factorization.

349604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 349604864 is about 18697.7234977951. The cubic root of 349604864 is about 704.4645693964.

The spelling of 349604864 in words is "three hundred forty-nine million, six hundred four thousand, eight hundred sixty-four".