349975080 has 320 divisors, whose sum is σ = 1448979840. Its totient is φ = 73778688.

The previous prime is 349975051. The next prime is 349975081. The reversal of 349975080 is 80579943.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (349975081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294247 + ... + 295433.

It is an arithmetic number, because the mean of its divisors is an integer number (4528062).

Almost surely, 2^349975080 is an apocalyptic number.

349975080 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 349975080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724489920).

349975080 is an abundant number, since it is smaller than the sum of its proper divisors (1099004760).

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

349975080 is a wasteful number, since it uses less digits than its factorization.

349975080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 349975080 is about 18707.6209069994. The cubic root of 349975080 is about 704.7131472205.

The spelling of 349975080 in words is "three hundred forty-nine million, nine hundred seventy-five thousand, eighty".