348427367424 has 352 divisors, whose sum is σ = 1089462528000. Its totient is φ = 109697753088.

The previous prime is 348427367417. The next prime is 348427367429. The reversal of 348427367424 is 424763724843.

348427367424 is a `hidden beast` number, since 3 + 484 + 2 + 73 + 6 + 74 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348427367429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 220104937 + ... + 220106519.

It is an arithmetic number, because the mean of its divisors is an integer number (3095064000).

Almost surely, 2^348427367424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348427367424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544731264000).

348427367424 is an abundant number, since it is smaller than the sum of its proper divisors (741035160576).

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

348427367424 is a wasteful number, since it uses less digits than its factorization.

348427367424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2026 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 54.

The spelling of 348427367424 in words is "three hundred forty-eight billion, four hundred twenty-seven million, three hundred sixty-seven thousand, four hundred twenty-four".