348826173696 has 2592 divisors, whose sum is σ = 1538934598656. Its totient is φ = 74317824000.

The previous prime is 348826173691. The next prime is 348826173749. The reversal of 348826173696 is 696371628843.

348826173696 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 2 + 617 + 3 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (348826173691) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 8507955436 + ... + 8507955476.

It is an arithmetic number, because the mean of its divisors is an integer number (593724768).

Almost surely, 2^348826173696 is an apocalyptic number.

348826173696 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 348826173696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769467299328).

348826173696 is an abundant number, since it is smaller than the sum of its proper divisors (1190108424960).

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

348826173696 is a wasteful number, since it uses less digits than its factorization.

348826173696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 348826173696 in words is "three hundred forty-eight billion, eight hundred twenty-six million, one hundred seventy-three thousand, six hundred ninety-six".