349116480 has 140 divisors (see below), whose sum is σ = 1241960940. Its totient is φ = 93090816.

The previous prime is 349116463. The next prime is 349116487. The reversal of 349116480 is 84611943.

349116480 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 173606976 + 175509504 = 13176^2 + 13248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (349116487) 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 19 ways as a sum of consecutive naturals, for example, 19186 + ... + 32654.

Almost surely, 2^349116480 is an apocalyptic number.

349116480 is a gapful number since it is divisible by the number (30) 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 349116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620980470).

349116480 is an abundant number, since it is smaller than the sum of its proper divisors (892844460).

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

349116480 is a wasteful number, since it uses less digits than its factorization.

349116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13498 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 349116480 is about 18684.6589479177. The cubic root of 349116480 is about 704.1363802589.

The spelling of 349116480 in words is "three hundred forty-nine million, one hundred sixteen thousand, four hundred eighty".