348370844064 has 96 divisors (see below), whose sum is σ = 969069769920. Its totient is φ = 109202092032.

The previous prime is 348370844033. The next prime is 348370844117. The reversal of 348370844064 is 460448073843.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 348370843998 and 348370844016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1891627 + ... + 2067605.

It is an arithmetic number, because the mean of its divisors is an integer number (10094476770).

Almost surely, 2^348370844064 is an apocalyptic number.

348370844064 is a gapful number since it is divisible by the number (34) 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 348370844064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484534884960).

348370844064 is an abundant number, since it is smaller than the sum of its proper divisors (620698925856).

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

348370844064 is a wasteful number, since it uses less digits than its factorization.

348370844064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177222 (or 177214 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 348370844064 in words is "three hundred forty-eight billion, three hundred seventy million, eight hundred forty-four thousand, sixty-four".