348520116800 has 84 divisors (see below), whose sum is σ = 858670093680. Its totient is φ = 139230405120.

The previous prime is 348520116799. The next prime is 348520116887. The reversal of 348520116800 is 8611025843.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1120811 + ... + 1397589.

It is an arithmetic number, because the mean of its divisors is an integer number (10222263020).

Almost surely, 2^348520116800 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 348520116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429335046840).

348520116800 is an abundant number, since it is smaller than the sum of its proper divisors (510149976880).

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

348520116800 is a wasteful number, since it uses less digits than its factorization.

348520116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277588 (or 277573 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 348520116800 in words is "three hundred forty-eight billion, five hundred twenty million, one hundred sixteen thousand, eight hundred".