348589040800 has 576 divisors, whose sum is σ = 1158873827328. Its totient is φ = 98864640000.

The previous prime is 348589040783. The next prime is 348589040801. The reversal of 348589040800 is 8040985843.

It is not an unprimeable number, because it can be changed into a prime (348589040801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56853735 + ... + 56859865.

It is an arithmetic number, because the mean of its divisors is an integer number (2011933728).

Almost surely, 2^348589040800 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 348589040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579436913664).

348589040800 is an abundant number, since it is smaller than the sum of its proper divisors (810284786528).

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

348589040800 is a wasteful number, since it uses less digits than its factorization.

348589040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 348589040800 in words is "three hundred forty-eight billion, five hundred eighty-nine million, forty thousand, eight hundred".