348366096 has 400 divisors, whose sum is σ = 1209922560. Its totient is φ = 95800320.

The previous prime is 348366049. The next prime is 348366103. The reversal of 348366096 is 690663843.

348366096 is a `hidden beast` number, since 3 + 4 + 8 + 36 + 609 + 6 = 666.

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 79 ways as a sum of consecutive naturals, for example, 11237601 + ... + 11237631.

Almost surely, 2^348366096 is an apocalyptic number.

348366096 is a gapful number since it is divisible by the number (36) 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 348366096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604961280).

348366096 is an abundant number, since it is smaller than the sum of its proper divisors (861556464).

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

348366096 is a wasteful number, since it uses less digits than its factorization.

348366096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 348366096 is about 18664.5679296361. The cubic root of 348366096 is about 703.6315328183.

The spelling of 348366096 in words is "three hundred forty-eight million, three hundred sixty-six thousand, ninety-six".