342404512352 has 96 divisors (see below), whose sum is σ = 776119325184. Its totient is φ = 145658880000.

The previous prime is 342404512339. The next prime is 342404512357. The reversal of 342404512352 is 253215404243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342404512357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54149063 + ... + 54155385.

It is an arithmetic number, because the mean of its divisors is an integer number (8084576304).

Almost surely, 2^342404512352 is an apocalyptic number.

342404512352 is a gapful number since it is divisible by the number (32) 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 342404512352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388059662592).

342404512352 is an abundant number, since it is smaller than the sum of its proper divisors (433714812832).

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

342404512352 is a wasteful number, since it uses less digits than its factorization.

342404512352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 8084 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 342404512352 its reverse (253215404243), we get a palindrome (595619916595).

The spelling of 342404512352 in words is "three hundred forty-two billion, four hundred four million, five hundred twelve thousand, three hundred fifty-two".