342435939600 has 120 divisors (see below), whose sum is σ = 1098486349120. Its totient is φ = 91187228160.

The previous prime is 342435939583. The next prime is 342435939611. The reversal of 342435939600 is 6939534243.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 342435939600.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 649557 + ... + 1052043.

Almost surely, 2^342435939600 is an apocalyptic number.

342435939600 is a gapful number since it is divisible by the number (30) 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 342435939600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549243174560).

342435939600 is an abundant number, since it is smaller than the sum of its proper divisors (756050409520).

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

342435939600 is a wasteful number, since it uses less digits than its factorization.

342435939600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403217 (or 403206 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 342435939600 in words is "three hundred forty-two billion, four hundred thirty-five million, nine hundred thirty-nine thousand, six hundred".