348155943871680 has 2352 divisors, whose sum is σ = 1489805248415040. Its totient is φ = 77178382073856.

The previous prime is 348155943871657. The next prime is 348155943871741. The reversal of 348155943871680 is 86178349551843.

348155943871680 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 559 + 4 + 3 + 8 + 7 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a super-2 number, since 2×348155943871680² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 348155943871599 and 348155943871608.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 151834252614 + ... + 151834254906.

Almost surely, 2^{348155943871680} is an apocalyptic number.

348155943871680 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 348155943871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744902624207520).

348155943871680 is an abundant number, since it is smaller than the sum of its proper divisors (1141649304543360).

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

348155943871680 is a wasteful number, since it uses less digits than its factorization.

348155943871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 348155943871680 in words is "three hundred forty-eight trillion, one hundred fifty-five billion, nine hundred forty-three million, eight hundred seventy-one thousand, six hundred eighty".