340795008 has 144 divisors (see below), whose sum is σ = 1024633350. Its totient is φ = 108595200.

The previous prime is 340794991. The next prime is 340795043. The reversal of 340795008 is 800597043.

It can be written as a sum of positive squares in 3 ways, for example, as 326597184 + 14197824 = 18072^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×340795008² = 232282474955440128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3374158 + ... + 3374258.

Almost surely, 2^340795008 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 340795008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512316675).

340795008 is an abundant number, since it is smaller than the sum of its proper divisors (683838342).

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

340795008 is a wasteful number, since it uses less digits than its factorization.

340795008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 340795008 is about 18460.6340086141. The cubic root of 340795008 is about 698.4967796509.

The spelling of 340795008 in words is "three hundred forty million, seven hundred ninety-five thousand, eight".