3340432560 has 160 divisors (see below), whose sum is σ = 10936800000. Its totient is φ = 841079808.

The previous prime is 3340432549. The next prime is 3340432573. The reversal of 3340432560 is 652340433.

3340432560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340432560² = 22316979375816307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1590391 + ... + 1592489.

It is an arithmetic number, because the mean of its divisors is an integer number (68355000).

Almost surely, 2^3340432560 is an apocalyptic number.

3340432560 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 3340432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400000).

3340432560 is an abundant number, since it is smaller than the sum of its proper divisors (7596367440).

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

3340432560 is a wasteful number, since it uses less digits than its factorization.

3340432560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3340432560 is about 57796.4753250577. The cubic root of 3340432560 is about 1494.8613138166.

Adding to 3340432560 its reverse (652340433), we get a palindrome (3992772993).

The spelling of 3340432560 in words is "three billion, three hundred forty million, four hundred thirty-two thousand, five hundred sixty".