340046784 has 504 divisors, whose sum is σ = 1328037984. Its totient is φ = 81100800.

The previous prime is 340046753. The next prime is 340046803. The reversal of 340046784 is 487640043.

It is a tau number, because it is divible by the number of its divisors (504).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8293804 + ... + 8293844.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 2^340046784 is an apocalyptic number.

340046784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340046784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664018992).

340046784 is an abundant number, since it is smaller than the sum of its proper divisors (987991200).

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

340046784 is a wasteful number, since it uses less digits than its factorization.

340046784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 340046784 is about 18440.3574802659. The cubic root of 340046784 is about 697.9852160097.

The spelling of 340046784 in words is "three hundred forty million, forty-six thousand, seven hundred eighty-four".