340225920 has 160 divisors (see below), whose sum is σ = 1215193320. Its totient is φ = 90713088.

The previous prime is 340225909. The next prime is 340225939. The reversal of 340225920 is 29522043.

340225920 is a `hidden beast` number, since 3 + 402 + 259 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 48559 + ... + 55121.

Almost surely, 2^340225920 is an apocalyptic number.

340225920 is a gapful number since it is divisible by the number (30) 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 340225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607596660).

340225920 is an abundant number, since it is smaller than the sum of its proper divisors (874967400).

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

340225920 is an equidigital number, since it uses as much as digits as its factorization.

340225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 340225920 is about 18445.2140133965. The cubic root of 340225920 is about 698.1077602556.

Adding to 340225920 its reverse (29522043), we get a palindrome (369747963).

The spelling of 340225920 in words is "three hundred forty million, two hundred twenty-five thousand, nine hundred twenty".