343785640 has 64 divisors (see below), whose sum is σ = 853416000. Its totient is φ = 123594240.

The previous prime is 343785619. The next prime is 343785647. The reversal of 343785640 is 46587343.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 343785593 and 343785602.

It is not an unprimeable number, because it can be changed into a prime (343785647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34771 + ... + 43549.

It is an arithmetic number, because the mean of its divisors is an integer number (13334625).

Almost surely, 2^343785640 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 343785640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426708000).

343785640 is an abundant number, since it is smaller than the sum of its proper divisors (509630360).

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

343785640 is a wasteful number, since it uses less digits than its factorization.

343785640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8886 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 343785640 is about 18541.4573321516. The cubic root of 343785640 is about 700.5340414470.

The spelling of 343785640 in words is "three hundred forty-three million, seven hundred eighty-five thousand, six hundred forty".