340538052592920 has 1536 divisors, whose sum is σ = 1338634630195200. Its totient is φ = 67777107001344.

The previous prime is 340538052592819. The next prime is 340538052592921. The reversal of 340538052592920 is 29295250835043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340538052592921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22622596114 + ... + 22622611166.

It is an arithmetic number, because the mean of its divisors is an integer number (871506920700).

Almost surely, 2^{340538052592920} is an apocalyptic number.

340538052592920 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 340538052592920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669317315097600).

340538052592920 is an abundant number, since it is smaller than the sum of its proper divisors (998096577602280).

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

340538052592920 is a wasteful number, since it uses less digits than its factorization.

340538052592920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15269 (or 15252 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 340538052592920 in words is "three hundred forty trillion, five hundred thirty-eight billion, fifty-two million, five hundred ninety-two thousand, nine hundred twenty".