348411627312 has 320 divisors, whose sum is σ = 1088984776704. Its totient is φ = 93881410560.

The previous prime is 348411627271. The next prime is 348411627323. The reversal of 348411627312 is 213726114843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392797333 + ... + 392798219.

Almost surely, 2^348411627312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348411627312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544492388352).

348411627312 is an abundant number, since it is smaller than the sum of its proper divisors (740573149392).

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

348411627312 is a wasteful number, since it uses less digits than its factorization.

348411627312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1850 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 348411627312 in words is "three hundred forty-eight billion, four hundred eleven million, six hundred twenty-seven thousand, three hundred twelve".