349113888 has 90 divisors (see below), whose sum is σ = 1029539511. Its totient is φ = 116054208.

The previous prime is 349113883. The next prime is 349113937. The reversal of 349113888 is 888311943.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 174556944 + 174556944 = 13212^2 + 13212^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13212.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (349113883) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 951081 + ... + 951447.

Almost surely, 2^349113888 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 349113888

349113888 is an abundant number, since it is smaller than the sum of its proper divisors (680425623).

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

349113888 is an frugal number, since it uses more digits than its factorization.

349113888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 372 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 349113888 is about 18684.5895860733. The cubic root of 349113888 is about 704.1346376447.

Multiplying 349113888 by its product of digits (165888), we get a square (57913804652544 = 7610112²).

The spelling of 349113888 in words is "three hundred forty-nine million, one hundred thirteen thousand, eight hundred eighty-eight".