348828480000 has 2400 divisors, whose sum is σ = 1703056747392. Its totient is φ = 66908160000.

The previous prime is 348828479999. The next prime is 348828480031. The reversal of 348828480000 is 84828843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×348828480000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 26832959994 + ... + 26832960006.

Almost surely, 2^348828480000 is an apocalyptic number.

348828480000 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 348828480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851528373696).

348828480000 is an abundant number, since it is smaller than the sum of its proper divisors (1354228267392).

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

348828480000 is an equidigital number, since it uses as much as digits as its factorization.

348828480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

It can be divided in two parts, 348828 and 480000, that added together give a palindrome (828828).

The spelling of 348828480000 in words is "three hundred forty-eight billion, eight hundred twenty-eight million, four hundred eighty thousand".