346331133642 has 64 divisors (see below), whose sum is σ = 790205673600. Its totient is φ = 100246401024.

The previous prime is 346331133637. The next prime is 346331133647. The reversal of 346331133642 is 246331133643.

It is an interprime number because it is at equal distance from previous prime (346331133637) and next prime (346331133647).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 346331133642.

It is not an unprimeable number, because it can be changed into a prime (346331133647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2721058 + ... + 2845490.

It is an arithmetic number, because the mean of its divisors is an integer number (12346963650).

Almost surely, 2^346331133642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346331133642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395102836800).

346331133642 is an abundant number, since it is smaller than the sum of its proper divisors (443874539958).

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

346331133642 is a wasteful number, since it uses less digits than its factorization.

346331133642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126567.

The product of its digits is 279936, while the sum is 39.

Subtracting from 346331133642 its reverse (246331133643), we obtain a palindrome (99999999999).

The spelling of 346331133642 in words is "three hundred forty-six billion, three hundred thirty-one million, one hundred thirty-three thousand, six hundred forty-two".