348685482240000 has 2880 divisors, whose sum is σ = 1391236316870400. Its totient is φ = 87310172160000.

The previous prime is 348685482239959. The next prime is 348685482240019. The reversal of 348685482240000 is 42284586843.

348685482240000 is a `hidden beast` number, since 3 + 4 + 86 + 85 + 4 + 82 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 809015039785 + ... + 809015040215.

It is an arithmetic number, because the mean of its divisors is an integer number (483068165580).

Almost surely, 2^{348685482240000} is an apocalyptic number.

348685482240000 is a gapful number since it is divisible by the number (30) 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 348685482240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695618158435200).

348685482240000 is an abundant number, since it is smaller than the sum of its proper divisors (1042550834630400).

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

348685482240000 is an frugal number, since it uses more digits than its factorization.

348685482240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 348685482240000 in words is "three hundred forty-eight trillion, six hundred eighty-five billion, four hundred eighty-two million, two hundred forty thousand".