342442032240 has 480 divisors, whose sum is σ = 1336507458048. Its totient is φ = 70998681600.

The previous prime is 342442032157. The next prime is 342442032281. The reversal of 342442032240 is 42230244243.

It is a super-2 number, since 2×342442032240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 342442032198 and 342442032207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106313830 + ... + 106317050.

Almost surely, 2^342442032240 is an apocalyptic number.

342442032240 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 342442032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668253729024).

342442032240 is an abundant number, since it is smaller than the sum of its proper divisors (994065425808).

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

342442032240 is a wasteful number, since it uses less digits than its factorization.

342442032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 342442032240 its reverse (42230244243), we get a palindrome (384672276483).

The spelling of 342442032240 in words is "three hundred forty-two billion, four hundred forty-two million, thirty-two thousand, two hundred forty".