346423886424 has 640 divisors, whose sum is σ = 1325157926400. Its totient is φ = 81761218560.

The previous prime is 346423886411. The next prime is 346423886429. The reversal of 346423886424 is 424688324643.

346423886424 is a `hidden beast` number, since 3 + 464 + 23 + 88 + 64 + 24 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346423886429) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24591687 + ... + 24605769.

It is an arithmetic number, because the mean of its divisors is an integer number (2070559260).

Almost surely, 2^346423886424 is an apocalyptic number.

346423886424 is a gapful number since it is divisible by the number (34) 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 346423886424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662578963200).

346423886424 is an abundant number, since it is smaller than the sum of its proper divisors (978734039976).

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

346423886424 is a wasteful number, since it uses less digits than its factorization.

346423886424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14165 (or 14152 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 346423886424 in words is "three hundred forty-six billion, four hundred twenty-three million, eight hundred eighty-six thousand, four hundred twenty-four".