340005240432 has 360 divisors, whose sum is σ = 1126111830480. Its totient is φ = 94931066880.

The previous prime is 340005240391. The next prime is 340005240439. The reversal of 340005240432 is 234042500043.

It is a junction number, because it is equal to n+sod(n) for n = 340005240396 and 340005240405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340005240439) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228343944 + ... + 228345432.

It is an arithmetic number, because the mean of its divisors is an integer number (3128088418).

Almost surely, 2^340005240432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340005240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563055915240).

340005240432 is an abundant number, since it is smaller than the sum of its proper divisors (786106590048).

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

340005240432 is a wasteful number, since it uses less digits than its factorization.

340005240432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 340005240432 its reverse (234042500043), we get a palindrome (574047740475).

The spelling of 340005240432 in words is "three hundred forty billion, five million, two hundred forty thousand, four hundred thirty-two".