343242003400032 has 96 divisors (see below), whose sum is σ = 982923841315584. Its totient is φ = 104012351705600.

The previous prime is 343242003400031. The next prime is 343242003400061. The reversal of 343242003400032 is 230004300242343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×343242003400032³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343242003400031) 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, 467209693 + ... + 467943779.

It is an arithmetic number, because the mean of its divisors is an integer number (10238790013704).

Almost surely, 2^{343242003400032} is an apocalyptic number.

343242003400032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

343242003400032 is an abundant number, since it is smaller than the sum of its proper divisors (639681837915552).

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

343242003400032 is a wasteful number, since it uses less digits than its factorization.

343242003400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176892 (or 1176884 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 343242003400032 its reverse (230004300242343), we get a palindrome (573246303642375).

The spelling of 343242003400032 in words is "three hundred forty-three trillion, two hundred forty-two billion, three million, four hundred thousand, thirty-two".