348055827840 has 576 divisors, whose sum is σ = 1458920043360. Its totient is φ = 76095258624.

The previous prime is 348055827829. The next prime is 348055827913. The reversal of 348055827840 is 48728550843.

348055827840 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 558 + 2 + 7 + 84 + 0 = 666.

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

It is a super-2 number, since 2×348055827840² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 6464712 + ... + 6518328.

Almost surely, 2^348055827840 is an apocalyptic number.

348055827840 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 348055827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729460021680).

348055827840 is an abundant number, since it is smaller than the sum of its proper divisors (1110864215520).

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

348055827840 is a wasteful number, since it uses less digits than its factorization.

348055827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53679 (or 53657 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 348055827840 in words is "three hundred forty-eight billion, fifty-five million, eight hundred twenty-seven thousand, eight hundred forty".