340521120 has 144 divisors (see below), whose sum is σ = 1175527080. Its totient is φ = 89751552.

The previous prime is 340521107. The next prime is 340521121. The reversal of 340521120 is 21125043.

340521120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 246741264 + 93779856 = 15708^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 340521093 and 340521102.

It is not an unprimeable number, because it can be changed into a prime (340521121) 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, 126832 + ... + 129488.

Almost surely, 2^340521120 is an apocalyptic number.

340521120 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 340521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587763540).

340521120 is an abundant number, since it is smaller than the sum of its proper divisors (835005960).

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

340521120 is a wasteful number, since it uses less digits than its factorization.

340521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 340521120 is about 18453.2143541444. The cubic root of 340521120 is about 698.3096083264.

Adding to 340521120 its reverse (21125043), we get a palindrome (361646163).

The spelling of 340521120 in words is "three hundred forty million, five hundred twenty-one thousand, one hundred twenty".