348344966340 has 768 divisors, whose sum is σ = 1305118402560. Its totient is φ = 76429246464.

The previous prime is 348344966293. The next prime is 348344966351. The reversal of 348344966340 is 43669443843.

348344966340 is a `hidden beast` number, since 3 + 483 + 44 + 96 + 6 + 34 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1098879862 + ... + 1098880178.

It is an arithmetic number, because the mean of its divisors is an integer number (1699372920).

Almost surely, 2^348344966340 is an apocalyptic number.

348344966340 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 348344966340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652559201280).

348344966340 is an abundant number, since it is smaller than the sum of its proper divisors (956773436220).

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

348344966340 is a wasteful number, since it uses less digits than its factorization.

348344966340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 348344966340 in words is "three hundred forty-eight billion, three hundred forty-four million, nine hundred sixty-six thousand, three hundred forty".