349751808 has 180 divisors, whose sum is σ = 1174966650. Its totient is φ = 99864576.

The previous prime is 349751807. The next prime is 349751819. The reversal of 349751808 is 808157943.

It can be written as a sum of positive squares in only one way, i.e., 317124864 + 32626944 = 17808^2 + 5712^2 .

It is not an unprimeable number, because it can be changed into a prime (349751807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225018 + ... + 226566.

Almost surely, 2^349751808 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 349751808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587483325).

349751808 is an abundant number, since it is smaller than the sum of its proper divisors (825214842).

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

349751808 is a wasteful number, since it uses less digits than its factorization.

349751808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 349751808 is about 18701.6525473018. The cubic root of 349751808 is about 704.5632544668.

The spelling of 349751808 in words is "three hundred forty-nine million, seven hundred fifty-one thousand, eight hundred eight".