348120385536 has 576 divisors, whose sum is σ = 1216118292480. Its totient is φ = 87478272000.

The previous prime is 348120385523. The next prime is 348120385541. The reversal of 348120385536 is 635583021843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102658401 + ... + 102661791.

It is an arithmetic number, because the mean of its divisors is an integer number (2111316480).

Almost surely, 2^348120385536 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 348120385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608059146240).

348120385536 is an abundant number, since it is smaller than the sum of its proper divisors (867997906944).

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

348120385536 is a wasteful number, since it uses less digits than its factorization.

348120385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 348120385536 in words is "three hundred forty-eight billion, one hundred twenty million, three hundred eighty-five thousand, five hundred thirty-six".