3413300440 has 128 divisors (see below), whose sum is σ = 8622028800. Its totient is φ = 1205406720.

The previous prime is 3413300413. The next prime is 3413300459. The reversal of 3413300440 is 440033143.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 4218756 + ... + 4219564.

It is an arithmetic number, because the mean of its divisors is an integer number (67359600).

Almost surely, 2^3413300440 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 3413300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311014400).

3413300440 is an abundant number, since it is smaller than the sum of its proper divisors (5208728360).

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

3413300440 is a wasteful number, since it uses less digits than its factorization.

3413300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3413300440 is about 58423.4579599667. The cubic root of 3413300440 is about 1505.6528096610.

Adding to 3413300440 its reverse (440033143), we get a palindrome (3853333583).

The spelling of 3413300440 in words is "three billion, four hundred thirteen million, three hundred thousand, four hundred forty".