340943022272 has 84 divisors (see below), whose sum is σ = 707935222176. Its totient is φ = 162902530560.

The previous prime is 340943022257. The next prime is 340943022313. The reversal of 340943022272 is 272220349043.

It is a super-4 number, since 4×340943022272⁴ (a number of 47 digits) contains 4444 as substring.

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 11 ways as a sum of consecutive naturals, for example, 39979673 + ... + 39988199.

It is an arithmetic number, because the mean of its divisors is an integer number (8427800264).

Almost surely, 2^340943022272 is an apocalyptic number.

340943022272 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 340943022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353967611088).

340943022272 is an abundant number, since it is smaller than the sum of its proper divisors (366992199904).

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

340943022272 is a wasteful number, since it uses less digits than its factorization.

340943022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9766 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 340943022272 in words is "three hundred forty billion, nine hundred forty-three million, twenty-two thousand, two hundred seventy-two".