348051312 has 180 divisors, whose sum is σ = 1146161016. Its totient is φ = 98300160.

The previous prime is 348051289. The next prime is 348051373. The reversal of 348051312 is 213150843.

It is a happy number.

348051312 is a `hidden beast` number, since 348 + 0 + 5 + 1 + 312 = 666.

It is a super-2 number, since 2×348051312² = 242279431569842688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 754762 + ... + 755222.

Almost surely, 2^348051312 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 348051312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573080508).

348051312 is an abundant number, since it is smaller than the sum of its proper divisors (798109704).

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

348051312 is a wasteful number, since it uses less digits than its factorization.

348051312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 348051312 is about 18656.1333614444. The cubic root of 348051312 is about 703.4195348676.

The spelling of 348051312 in words is "three hundred forty-eight million, fifty-one thousand, three hundred twelve".