349160448 has 176 divisors, whose sum is σ = 1146320000. Its totient is φ = 92012544.

The previous prime is 349160429. The next prime is 349160543. The reversal of 349160448 is 844061943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278928 + ... + 280176.

Almost surely, 2^349160448 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 349160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573160000).

349160448 is an abundant number, since it is smaller than the sum of its proper divisors (797159552).

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

349160448 is a wasteful number, since it uses less digits than its factorization.

349160448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 349160448 is about 18685.8354910879. The cubic root of 349160448 is about 704.1659388451.

The spelling of 349160448 in words is "three hundred forty-nine million, one hundred sixty thousand, four hundred forty-eight".