349188896 has 72 divisors (see below), whose sum is σ = 818460720. Its totient is φ = 146143872.

The previous prime is 349188887. The next prime is 349188899. The reversal of 349188896 is 698881943.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (349188899) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64835 + ... + 70013.

It is an arithmetic number, because the mean of its divisors is an integer number (11367510).

Almost surely, 2^349188896 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 349188896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409230360).

349188896 is an abundant number, since it is smaller than the sum of its proper divisors (469271824).

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

349188896 is a wasteful number, since it uses less digits than its factorization.

349188896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5231 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 56.

The square root of 349188896 is about 18686.5966938873. The cubic root of 349188896 is about 704.1850624016.

The spelling of 349188896 in words is "three hundred forty-nine million, one hundred eighty-eight thousand, eight hundred ninety-six".