3413421440 has 384 divisors, whose sum is σ = 10214035200. Its totient is φ = 1078272000.

The previous prime is 3413421433. The next prime is 3413421443. The reversal of 3413421440 is 441243143.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413421443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22605365 + ... + 22605515.

It is an arithmetic number, because the mean of its divisors is an integer number (26599050).

Almost surely, 2^3413421440 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 3413421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107017600).

3413421440 is an abundant number, since it is smaller than the sum of its proper divisors (6800613760).

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

3413421440 is a wasteful number, since it uses less digits than its factorization.

3413421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 3413421440 is about 58424.4934937394. The cubic root of 3413421440 is about 1505.6706010275.

Adding to 3413421440 its reverse (441243143), we get a palindrome (3854664583).

The spelling of 3413421440 in words is "three billion, four hundred thirteen million, four hundred twenty-one thousand, four hundred forty".