349618464 has 192 divisors, whose sum is σ = 1163393280. Its totient is φ = 101191680.

The previous prime is 349618463. The next prime is 349618531. The reversal of 349618464 is 464816943.

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 (349618463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 190029 + ... + 191859.

It is an arithmetic number, because the mean of its divisors is an integer number (6059340).

Almost surely, 2^349618464 is an apocalyptic number.

349618464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349618464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581696640).

349618464 is an abundant number, since it is smaller than the sum of its proper divisors (813774816).

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

349618464 is a wasteful number, since it uses less digits than its factorization.

349618464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1866 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 349618464 is about 18698.0871748957. The cubic root of 349618464 is about 704.4737040843.

The spelling of 349618464 in words is "three hundred forty-nine million, six hundred eighteen thousand, four hundred sixty-four".