348375252096 has 384 divisors, whose sum is σ = 1121977396800. Its totient is φ = 103110672384.

The previous prime is 348375252053. The next prime is 348375252101. The reversal of 348375252096 is 690252573843.

348375252096 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 7 + 525 + 20 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95626851 + ... + 95630493.

Almost surely, 2^348375252096 is an apocalyptic number.

348375252096 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 348375252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560988698400).

348375252096 is an abundant number, since it is smaller than the sum of its proper divisors (773602144704).

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

348375252096 is a wasteful number, since it uses less digits than its factorization.

348375252096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 348375252096 in words is "three hundred forty-eight billion, three hundred seventy-five million, two hundred fifty-two thousand, ninety-six".