3413145040 has 80 divisors (see below), whose sum is σ = 8162758800. Its totient is φ = 1326448640.

The previous prime is 3413145019. The next prime is 3413145049. The reversal of 3413145040 is 405413143.

3413145040 is digitally balanced in base 2, 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 8 ways, for example, as 83393424 + 3329751616 = 9132^2 + 57704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3413144996 and 3413145014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413145049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840936 + ... + 844984.

It is an arithmetic number, because the mean of its divisors is an integer number (102034485).

Almost surely, 2^3413145040 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 3413145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081379400).

3413145040 is an abundant number, since it is smaller than the sum of its proper divisors (4749613760).

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

3413145040 is a wasteful number, since it uses less digits than its factorization.

3413145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3413145040 is about 58422.1279995859. The cubic root of 3413145040 is about 1505.6299596364.

Adding to 3413145040 its reverse (405413143), we get a palindrome (3818558183).

The spelling of 3413145040 in words is "three billion, four hundred thirteen million, one hundred forty-five thousand, forty".