349198080 has 288 divisors, whose sum is σ = 1391620608. Its totient is φ = 72499200.

The previous prime is 349198027. The next prime is 349198097. The reversal of 349198080 is 80891943.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295090 + ... + 296270.

It is an arithmetic number, because the mean of its divisors is an integer number (4832016).

Almost surely, 2^349198080 is an apocalyptic number.

349198080 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 349198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695810304).

349198080 is an abundant number, since it is smaller than the sum of its proper divisors (1042422528).

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

349198080 is a wasteful number, since it uses less digits than its factorization.

349198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 349198080 is about 18686.8424299024. The cubic root of 349198080 is about 704.1912359264.

The spelling of 349198080 in words is "three hundred forty-nine million, one hundred ninety-eight thousand, eighty".