346943831472 has 160 divisors (see below), whose sum is σ = 1140100838400. Its totient is φ = 98954514432.

The previous prime is 346943831459. The next prime is 346943831473. The reversal of 346943831472 is 274138349643.

It is a happy number.

346943831472 is a `hidden beast` number, since 3 + 4 + 6 + 94 + 3 + 83 + 1 + 472 = 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 not an unprimeable number, because it can be changed into a prime (346943831473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1645429 + ... + 1844267.

It is an arithmetic number, because the mean of its divisors is an integer number (7125630240).

Almost surely, 2^346943831472 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 346943831472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570050419200).

346943831472 is an abundant number, since it is smaller than the sum of its proper divisors (793157006928).

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

346943831472 is a wasteful number, since it uses less digits than its factorization.

346943831472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199440 (or 199428 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 346943831472 in words is "three hundred forty-six billion, nine hundred forty-three million, eight hundred thirty-one thousand, four hundred seventy-two".