3404415040 has 112 divisors (see below), whose sum is σ = 9012326400. Its totient is φ = 1216419840.

The previous prime is 3404415017. The next prime is 3404415059. The reversal of 3404415040 is 405144043.

It is a junction number, because it is equal to n+sod(n) for n = 3404414996 and 3404415014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115761 + ... + 142159.

It is an arithmetic number, because the mean of its divisors is an integer number (80467200).

Almost surely, 2^3404415040 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 3404415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506163200).

3404415040 is an abundant number, since it is smaller than the sum of its proper divisors (5607911360).

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

3404415040 is a wasteful number, since it uses less digits than its factorization.

3404415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26460 (or 26450 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 3404415040 is about 58347.3653218378. The cubic root of 3404415040 is about 1504.3451844643.

Adding to 3404415040 its reverse (405144043), we get a palindrome (3809559083).

The spelling of 3404415040 in words is "three billion, four hundred four million, four hundred fifteen thousand, forty".