348210420480 has 720 divisors, whose sum is σ = 1360568895840. Its totient is φ = 84515291136.

The previous prime is 348210420473. The next prime is 348210420511. The reversal of 348210420480 is 84024012843.

348210420480 is a `hidden beast` number, since 348 + 2 + 104 + 204 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98390551 + ... + 98394089.

It is an arithmetic number, because the mean of its divisors is an integer number (1889679022).

Almost surely, 2^348210420480 is an apocalyptic number.

348210420480 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 348210420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680284447920).

348210420480 is an abundant number, since it is smaller than the sum of its proper divisors (1012358475360).

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

348210420480 is a wasteful number, since it uses less digits than its factorization.

348210420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 348210420480 in words is "three hundred forty-eight billion, two hundred ten million, four hundred twenty thousand, four hundred eighty".