340395328 has 112 divisors (see below), whose sum is σ = 838305664. Its totient is φ = 133539840.

The previous prime is 340395323. The next prime is 340395329. The reversal of 340395328 is 823593043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 340395328 = 148³ + 696³ = 544³ + 564³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340395323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228726 + ... + 1229002.

It is an arithmetic number, because the mean of its divisors is an integer number (7484872).

Almost surely, 2^340395328 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 340395328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419152832).

340395328 is an abundant number, since it is smaller than the sum of its proper divisors (497910336).

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

340395328 is a wasteful number, since it uses less digits than its factorization.

340395328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 340395328 is about 18449.8056358326. The cubic root of 340395328 is about 698.2236101549.

The spelling of 340395328 in words is "three hundred forty million, three hundred ninety-five thousand, three hundred twenty-eight".