348000480800 has 144 divisors (see below), whose sum is σ = 997163052480. Its totient is φ = 116089666560.

The previous prime is 348000480799. The next prime is 348000480859. The reversal of 348000480800 is 8084000843.

It is a super-2 number, since 2×348000480800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632570 + ... + 1046969.

It is an arithmetic number, because the mean of its divisors is an integer number (6924743420).

Almost surely, 2^348000480800 is an apocalyptic number.

It is an amenable number.

348000480800 is an abundant number, since it is smaller than the sum of its proper divisors (649162571680).

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

348000480800 is a wasteful number, since it uses less digits than its factorization.

348000480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679603 (or 1679590 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The spelling of 348000480800 in words is "three hundred forty-eight billion, four hundred eighty thousand, eight hundred".