340735076928 has 140 divisors (see below), whose sum is σ = 1012945002300. Its totient is φ = 113252318208.

The previous prime is 340735076917. The next prime is 340735076933. The reversal of 340735076928 is 829670537043.

340735076928 is a `hidden beast` number, since 3 + 4 + 0 + 73 + 507 + 69 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 205687646784 + 135047430144 = 453528^2 + 367488^2 .

It is a super-2 number, since 2×340735076928² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1715050 + ... + 1903382.

It is an arithmetic number, because the mean of its divisors is an integer number (7235321445).

Almost surely, 2^340735076928 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 340735076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506472501150).

340735076928 is an abundant number, since it is smaller than the sum of its proper divisors (672209925372).

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

340735076928 is a wasteful number, since it uses less digits than its factorization.

340735076928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188706 (or 188687 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 340735076928 in words is "three hundred forty billion, seven hundred thirty-five million, seventy-six thousand, nine hundred twenty-eight".