348991724647680 has 576 divisors, whose sum is σ = 1168350975590400. Its totient is φ = 88677204295680.

The previous prime is 348991724647679. The next prime is 348991724647681. The reversal of 348991724647680 is 86746427199843.

It is an interprime number because it is at equal distance from previous prime (348991724647679) and next prime (348991724647681).

It is a junction number, because it is equal to n+sod(n) for n = 348991724647596 and 348991724647605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348991724647681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2532030927 + ... + 2532168753.

It is an arithmetic number, because the mean of its divisors is an integer number (2028387110400).

Almost surely, 2^{348991724647680} is an apocalyptic number.

348991724647680 is a gapful number since it is divisible by the number (30) 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 348991724647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584175487795200).

348991724647680 is an abundant number, since it is smaller than the sum of its proper divisors (819359250942720).

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

348991724647680 is a wasteful number, since it uses less digits than its factorization.

348991724647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138210 (or 138196 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 78.

The spelling of 348991724647680 in words is "three hundred forty-eight trillion, nine hundred ninety-one billion, seven hundred twenty-four million, six hundred forty-seven thousand, six hundred eighty".