340406006520 has 256 divisors, whose sum is σ = 1075685806080. Its totient is φ = 86058086400.

The previous prime is 340406006449. The next prime is 340406006527. The reversal of 340406006520 is 25600604043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340406006527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257687460 + ... + 257688780.

It is an arithmetic number, because the mean of its divisors is an integer number (4201897680).

Almost surely, 2^340406006520 is an apocalyptic number.

340406006520 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 340406006520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537842903040).

340406006520 is an abundant number, since it is smaller than the sum of its proper divisors (735279799560).

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

340406006520 is a wasteful number, since it uses less digits than its factorization.

340406006520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 340406006520 in words is "three hundred forty billion, four hundred six million, six thousand, five hundred twenty".