3411404040 has 128 divisors (see below), whose sum is σ = 11179192320. Its totient is φ = 825926400.

The previous prime is 3411403997. The next prime is 3411404041. The reversal of 3411404040 is 404041143.

It is a junction number, because it is equal to n+sod(n) for n = 3411403998 and 3411404016.

It is not an unprimeable number, because it can be changed into a prime (3411404041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544617 + ... + 1546823.

It is an arithmetic number, because the mean of its divisors is an integer number (87337440).

Almost surely, 2^3411404040 is an apocalyptic number.

3411404040 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 3411404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589596160).

3411404040 is an abundant number, since it is smaller than the sum of its proper divisors (7767788280).

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

3411404040 is a wasteful number, since it uses less digits than its factorization.

3411404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3411404040 is about 58407.2259228257. The cubic root of 3411404040 is about 1505.3739154745.

Adding to 3411404040 its reverse (404041143), we get a palindrome (3815445183).

The spelling of 3411404040 in words is "three billion, four hundred eleven million, four hundred four thousand, forty".