346749344424 has 320 divisors, whose sum is σ = 1169554636800. Its totient is φ = 93762976896.

The previous prime is 346749344399. The next prime is 346749344441. The reversal of 346749344424 is 424443947643.

346749344424 is a `hidden beast` number, since 3 + 46 + 74 + 93 + 4 + 442 + 4 = 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 157112329 + ... + 157114535.

It is an arithmetic number, because the mean of its divisors is an integer number (3654858240).

Almost surely, 2^346749344424 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 346749344424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584777318400).

346749344424 is an abundant number, since it is smaller than the sum of its proper divisors (822805292376).

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

346749344424 is a wasteful number, since it uses less digits than its factorization.

346749344424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4061 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 54.

The spelling of 346749344424 in words is "three hundred forty-six billion, seven hundred forty-nine million, three hundred forty-four thousand, four hundred twenty-four".