342553903200 has 1152 divisors, whose sum is σ = 1419209164800. Its totient is φ = 79188295680.

The previous prime is 342553903171. The next prime is 342553903201. The reversal of 342553903200 is 2309355243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342553903201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258140937 + ... + 258142263.

It is an arithmetic number, because the mean of its divisors is an integer number (1231952400).

Almost surely, 2^342553903200 is an apocalyptic number.

342553903200 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 342553903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709604582400).

342553903200 is an abundant number, since it is smaller than the sum of its proper divisors (1076655261600).

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

342553903200 is a wasteful number, since it uses less digits than its factorization.

342553903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 342553903200 in words is "three hundred forty-two billion, five hundred fifty-three million, nine hundred three thousand, two hundred".