340921728 has 192 divisors, whose sum is σ = 1139723520. Its totient is φ = 95800320.

The previous prime is 340921727. The next prime is 340921739. The reversal of 340921728 is 827129043.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 340921692 and 340921701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340921727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539973 + ... + 540603.

It is an arithmetic number, because the mean of its divisors is an integer number (5936060).

Almost surely, 2^340921728 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 340921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569861760).

340921728 is an abundant number, since it is smaller than the sum of its proper divisors (798801792).

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

340921728 is a wasteful number, since it uses less digits than its factorization.

340921728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 340921728 is about 18464.0658577682. The cubic root of 340921728 is about 698.5833444394.

The spelling of 340921728 in words is "three hundred forty million, nine hundred twenty-one thousand, seven hundred twenty-eight".