342220031023200 has 864 divisors, whose sum is σ = 1228128980214528. Its totient is φ = 82710120345600.

The previous prime is 342220031023147. The next prime is 342220031023201. The reversal of 342220031023200 is 2320130022243.

It is a super-2 number, since 2×342220031023200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342220031023201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212955836797 + ... + 212955838403.

It is an arithmetic number, because the mean of its divisors is an integer number (1421445578952).

Almost surely, 2^{342220031023200} is an apocalyptic number.

342220031023200 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 342220031023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614064490107264).

342220031023200 is an abundant number, since it is smaller than the sum of its proper divisors (885908949191328).

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

342220031023200 is a wasteful number, since it uses less digits than its factorization.

342220031023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 342220031023200 its reverse (2320130022243), we get a palindrome (344540161045443).

The spelling of 342220031023200 in words is "three hundred forty-two trillion, two hundred twenty billion, thirty-one million, twenty-three thousand, two hundred".