340789105152 has 240 divisors, whose sum is σ = 1002014750880. Its totient is φ = 111469756416.

The previous prime is 340789105147. The next prime is 340789105199. The reversal of 340789105152 is 251501987043.

340789105152 is a `hidden beast` number, since 3 + 40 + 7 + 8 + 91 + 0 + 515 + 2 = 666.

It is a super-2 number, since 2×340789105152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340789105098 and 340789105107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265618303 + ... + 265619585.

It is an arithmetic number, because the mean of its divisors is an integer number (4175061462).

Almost surely, 2^340789105152 is an apocalyptic number.

340789105152 is a gapful number since it is divisible by the number (32) 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 340789105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501007375440).

340789105152 is an abundant number, since it is smaller than the sum of its proper divisors (661225645728).

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

340789105152 is a wasteful number, since it uses less digits than its factorization.

340789105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 340789105152 in words is "three hundred forty billion, seven hundred eighty-nine million, one hundred five thousand, one hundred fifty-two".