3413841240 has 128 divisors (see below), whose sum is σ = 10914600960. Its totient is φ = 852217344.

The previous prime is 3413841229. The next prime is 3413841269. The reversal of 3413841240 is 421483143.

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

It is a junction number, because it is equal to n+sod(n) for n = 3413841198 and 3413841207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116562 + ... + 142878.

It is an arithmetic number, because the mean of its divisors is an integer number (85270320).

Almost surely, 2^3413841240 is an apocalyptic number.

3413841240 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 3413841240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457300480).

3413841240 is an abundant number, since it is smaller than the sum of its proper divisors (7500759720).

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

3413841240 is a wasteful number, since it uses less digits than its factorization.

3413841240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26401 (or 26397 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3413841240 is about 58428.0860545680. The cubic root of 3413841240 is about 1505.7323235171.

The spelling of 3413841240 in words is "three billion, four hundred thirteen million, eight hundred forty-one thousand, two hundred forty".