3410402320 has 160 divisors (see below), whose sum is σ = 8960364000. Its totient is φ = 1198374912.

The previous prime is 3410402293. The next prime is 3410402329. The reversal of 3410402320 is 232040143.

It can be written as a sum of positive squares in 16 ways, for example, as 1399059216 + 2011343104 = 37404^2 + 44848^2 .

It is a super-2 number, since 2×3410402320² = 23261687968522764800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3410402329) 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 31 ways as a sum of consecutive naturals, for example, 2200906 + ... + 2202454.

It is an arithmetic number, because the mean of its divisors is an integer number (56002275).

Almost surely, 2^3410402320 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 3410402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480182000).

3410402320 is an abundant number, since it is smaller than the sum of its proper divisors (5549961680).

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

3410402320 is a wasteful number, since it uses less digits than its factorization.

3410402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3410402320 is about 58398.6499843960. The cubic root of 3410402320 is about 1505.2265557400.

Adding to 3410402320 its reverse (232040143), we get a palindrome (3642442463).

The spelling of 3410402320 in words is "three billion, four hundred ten million, four hundred two thousand, three hundred twenty".