3413835640 has 64 divisors (see below), whose sum is σ = 8122060800. Its totient is φ = 1287798912.

The previous prime is 3413835617. The next prime is 3413835643. The reversal of 3413835640 is 465383143.

It is a self number, because there is not a number n which added to its sum of digits gives 3413835640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413835643) 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, 159409 + ... + 179551.

It is an arithmetic number, because the mean of its divisors is an integer number (126907200).

Almost surely, 2^3413835640 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 3413835640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061030400).

3413835640 is an abundant number, since it is smaller than the sum of its proper divisors (4708225160).

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

3413835640 is a wasteful number, since it uses less digits than its factorization.

3413835640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20396 (or 20392 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 3413835640 is about 58428.0381323898. The cubic root of 3413835640 is about 1505.7315001918.

The spelling of 3413835640 in words is "three billion, four hundred thirteen million, eight hundred thirty-five thousand, six hundred forty".