340751168928 has 192 divisors, whose sum is σ = 1009352897280. Its totient is φ = 111825736704.

The previous prime is 340751168909. The next prime is 340751168929. The reversal of 340751168928 is 829861157043.

340751168928 is a `hidden beast` number, since 3 + 40 + 7 + 511 + 6 + 89 + 2 + 8 = 666.

It is a super-2 number, since 2×340751168928² (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 not an unprimeable number, because it can be changed into a prime (340751168929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15384550 + ... + 15406682.

It is an arithmetic number, because the mean of its divisors is an integer number (5257046340).

It is a 1-persistent number, because it is pandigital, but 2⋅340751168928 = 681502337856 is not.

Almost surely, 2^340751168928 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 340751168928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504676448640).

340751168928 is an abundant number, since it is smaller than the sum of its proper divisors (668601728352).

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

340751168928 is a wasteful number, since it uses less digits than its factorization.

340751168928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22428 (or 22414 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 340751168928 in words is "three hundred forty billion, seven hundred fifty-one million, one hundred sixty-eight thousand, nine hundred twenty-eight".