342330243043320 has 1152 divisors, whose sum is σ = 1321689962436480. Its totient is φ = 76603097088000.

The previous prime is 342330243043307. The next prime is 342330243043433. The reversal of 342330243043320 is 23340342033243.

342330243043320 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 3 + 0 + 24 + 304 + 3 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 183949619190 + ... + 183949621050.

It is an arithmetic number, because the mean of its divisors is an integer number (1147300314615).

Almost surely, 2^{342330243043320} is an apocalyptic number.

342330243043320 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 342330243043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660844981218240).

342330243043320 is an abundant number, since it is smaller than the sum of its proper divisors (979359719393160).

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

342330243043320 is a wasteful number, since it uses less digits than its factorization.

342330243043320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

Adding to 342330243043320 its reverse (23340342033243), we get a palindrome (365670585076563).

The spelling of 342330243043320 in words is "three hundred forty-two trillion, three hundred thirty billion, two hundred forty-three million, forty-three thousand, three hundred twenty".