349702080 has 224 divisors, whose sum is σ = 1366869504. Its totient is φ = 73764864.

The previous prime is 349702069. The next prime is 349702099. The reversal of 349702080 is 80207943.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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, 85359 + ... + 89361.

It is an arithmetic number, because the mean of its divisors is an integer number (6102096).

Almost surely, 2^349702080 is an apocalyptic number.

349702080 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 349702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683434752).

349702080 is an abundant number, since it is smaller than the sum of its proper divisors (1017167424).

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

349702080 is a wasteful number, since it uses less digits than its factorization.

349702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 349702080 is about 18700.3229918630. The cubic root of 349702080 is about 704.5298610896.

The spelling of 349702080 in words is "three hundred forty-nine million, seven hundred two thousand, eighty".