340800096 has 144 divisors (see below), whose sum is σ = 1120909104. Its totient is φ = 89865216.

The previous prime is 340800049. The next prime is 340800113. The reversal of 340800096 is 690008043.

It is a super-2 number, since 2×340800096² = 232289410867218432, which contains 22 as substring.

It is a congruent number.

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, 58366 + ... + 63938.

It is an arithmetic number, because the mean of its divisors is an integer number (7784091).

Almost surely, 2^340800096 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 340800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560454552).

340800096 is an abundant number, since it is smaller than the sum of its proper divisors (780109008).

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

340800096 is a wasteful number, since it uses less digits than its factorization.

340800096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 340800096 is about 18460.7718148511. The cubic root of 340800096 is about 698.5002557718.

The spelling of 340800096 in words is "three hundred forty million, eight hundred thousand, ninety-six".