348900160 has 224 divisors, whose sum is σ = 1013886720. Its totient is φ = 111820800.

The previous prime is 348900137. The next prime is 348900193. The reversal of 348900160 is 61009843.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2663295 + ... + 2663425.

It is an arithmetic number, because the mean of its divisors is an integer number (4526280).

Almost surely, 2^348900160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506943360).

348900160 is an abundant number, since it is smaller than the sum of its proper divisors (664986560).

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

348900160 is a wasteful number, since it uses less digits than its factorization.

348900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 348900160 is about 18678.8693447971. The cubic root of 348900160 is about 703.9909175826.

The spelling of 348900160 in words is "three hundred forty-eight million, nine hundred thousand, one hundred sixty".