348873972480 has 1008 divisors, whose sum is σ = 1401848048160. Its totient is φ = 82413158400.

The previous prime is 348873972479. The next prime is 348873972487. The reversal of 348873972480 is 84279378843.

348873972480 is a `hidden beast` number, since 3 + 4 + 8 + 87 + 3 + 9 + 72 + 480 = 666.

348873972480 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (348873972487) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 420836706 + ... + 420837534.

It is an arithmetic number, because the mean of its divisors is an integer number (1390722270).

Almost surely, 2^348873972480 is an apocalyptic number.

348873972480 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 348873972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700924024080).

348873972480 is an abundant number, since it is smaller than the sum of its proper divisors (1052974075680).

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

348873972480 is an equidigital number, since it uses as much as digits as its factorization.

348873972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 348873972480 in words is "three hundred forty-eight billion, eight hundred seventy-three million, nine hundred seventy-two thousand, four hundred eighty".