349791468 has 72 divisors (see below), whose sum is σ = 889792848. Its totient is φ = 106898688.

The previous prime is 349791461. The next prime is 349791487. The reversal of 349791468 is 864197943.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 349791468.

It is not an unprimeable number, because it can be changed into a prime (349791461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350346 + ... + 351342.

It is an arithmetic number, because the mean of its divisors is an integer number (12358234).

Almost surely, 2^349791468 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 349791468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444896424).

349791468 is an abundant number, since it is smaller than the sum of its proper divisors (540001380).

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

349791468 is a wasteful number, since it uses less digits than its factorization.

349791468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1188 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 349791468 is about 18702.7128513486. The cubic root of 349791468 is about 704.5898847057.

The spelling of 349791468 in words is "three hundred forty-nine million, seven hundred ninety-one thousand, four hundred sixty-eight".