340341120 has 384 divisors, whose sum is σ = 1405347840. Its totient is φ = 74207232.

The previous prime is 340341109. The next prime is 340341137. The reversal of 340341120 is 21143043.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 340341093 and 340341102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927177 + ... + 927543.

It is an arithmetic number, because the mean of its divisors is an integer number (3659760).

Almost surely, 2^340341120 is an apocalyptic number.

340341120 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 340341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702673920).

340341120 is an abundant number, since it is smaller than the sum of its proper divisors (1065006720).

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

340341120 is a wasteful number, since it uses less digits than its factorization.

340341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 340341120 is about 18448.3365103740. The cubic root of 340341120 is about 698.1865441205.

Adding to 340341120 its reverse (21143043), we get a palindrome (361484163).

The spelling of 340341120 in words is "three hundred forty million, three hundred forty-one thousand, one hundred twenty".