342771424320 has 1344 divisors, whose sum is σ = 1362242396160. Its totient is φ = 72459878400.

The previous prime is 342771424319. The next prime is 342771424327. The reversal of 342771424320 is 23424177243.

It is a super-2 number, since 2×342771424320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (342771424327) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1624509015 + ... + 1624509225.

Almost surely, 2^342771424320 is an apocalyptic number.

342771424320 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 342771424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681121198080).

342771424320 is an abundant number, since it is smaller than the sum of its proper divisors (1019470971840).

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

342771424320 is a wasteful number, since it uses less digits than its factorization.

342771424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 342771424320 in words is "three hundred forty-two billion, seven hundred seventy-one million, four hundred twenty-four thousand, three hundred twenty".