348796336896 has 576 divisors, whose sum is σ = 1213750092800. Its totient is φ = 97955205120.

The previous prime is 348796336849. The next prime is 348796336913. The reversal of 348796336896 is 698633697843.

It is a happy number.

348796336896 is a `hidden beast` number, since 3 + 487 + 9 + 63 + 3 + 6 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239064615 + ... + 239066073.

Almost surely, 2^348796336896 is an apocalyptic number.

348796336896 is a gapful number since it is divisible by the number (36) 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 348796336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606875046400).

348796336896 is an abundant number, since it is smaller than the sum of its proper divisors (864953755904).

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

348796336896 is an frugal number, since it uses more digits than its factorization.

348796336896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1532 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 348796336896 in words is "three hundred forty-eight billion, seven hundred ninety-six million, three hundred thirty-six thousand, eight hundred ninety-six".