340557446328 has 128 divisors (see below), whose sum is σ = 932534000640. Its totient is φ = 102784448000.

The previous prime is 340557446323. The next prime is 340557446363. The reversal of 340557446328 is 823644755043.

It is a Cunningham number, because it is equal to 583573²-1.

It is a super-3 number, since 3×340557446328³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340557446323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77029558 + ... + 77033978.

It is an arithmetic number, because the mean of its divisors is an integer number (7285421880).

Almost surely, 2^340557446328 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 340557446328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466267000320).

340557446328 is an abundant number, since it is smaller than the sum of its proper divisors (591976554312).

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

340557446328 is a wasteful number, since it uses less digits than its factorization.

340557446328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 51.

It can be divided in two parts, 340557 and 446328, that added together give a triangular number (786885 = T₁₂₅₄).

The spelling of 340557446328 in words is "three hundred forty billion, five hundred fifty-seven million, four hundred forty-six thousand, three hundred twenty-eight".