348387767728 has 320 divisors, whose sum is σ = 948803272704. Its totient is φ = 119532672000.

The previous prime is 348387767711. The next prime is 348387767747. The reversal of 348387767728 is 827767783843.

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, 35246275 + ... + 35256157.

Almost surely, 2^348387767728 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 348387767728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474401636352).

348387767728 is an abundant number, since it is smaller than the sum of its proper divisors (600415504976).

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

348387767728 is a wasteful number, since it uses less digits than its factorization.

348387767728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 10018 counting only the distinct ones).

The product of its digits is 531062784, while the sum is 70.

The spelling of 348387767728 in words is "three hundred forty-eight billion, three hundred eighty-seven million, seven hundred sixty-seven thousand, seven hundred twenty-eight".