340395264 has 288 divisors, whose sum is σ = 1137118080. Its totient is φ = 100362240.

The previous prime is 340395257. The next prime is 340395287. The reversal of 340395264 is 462593043.

340395264 is a `hidden beast` number, since 3 + 4 + 0 + 395 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9199854 + ... + 9199890.

Almost surely, 2^340395264 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 340395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568559040).

340395264 is an abundant number, since it is smaller than the sum of its proper divisors (796722816).

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

340395264 is an equidigital number, since it uses as much as digits as its factorization.

340395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 340395264 is about 18449.8039013969. The cubic root of 340395264 is about 698.2235663956.

The spelling of 340395264 in words is "three hundred forty million, three hundred ninety-five thousand, two hundred sixty-four".