340400064 has 56 divisors (see below), whose sum is σ = 907285968. Its totient is φ = 112629760.

The previous prime is 340400051. The next prime is 340400077. The reversal of 340400064 is 460004043.

340400064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (340400051) and next prime (340400077).

It is a self number, because there is not a number n which added to its sum of digits gives 340400064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19834 + ... + 32774.

Almost surely, 2^340400064 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 340400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453642984).

340400064 is an abundant number, since it is smaller than the sum of its proper divisors (566885904).

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

340400064 is a wasteful number, since it uses less digits than its factorization.

340400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13093 (or 13083 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 340400064 is about 18449.9339836217. The cubic root of 340400064 is about 698.2268483228.

The spelling of 340400064 in words is "three hundred forty million, four hundred thousand, sixty-four".