3410223040 has 112 divisors (see below), whose sum is σ = 9323661312. Its totient is φ = 1163805696.

The previous prime is 3410223007. The next prime is 3410223049. The reversal of 3410223040 is 403220143.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 3410222999 and 3410223017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410223049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 496107 + ... + 502933.

It is an arithmetic number, because the mean of its divisors is an integer number (83246976).

Almost surely, 2^3410223040 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 3410223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661830656).

3410223040 is an abundant number, since it is smaller than the sum of its proper divisors (5913438272).

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

3410223040 is a wasteful number, since it uses less digits than its factorization.

3410223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3410223040 is about 58397.1149972325. The cubic root of 3410223040 is about 1505.2001794046.

Adding to 3410223040 its reverse (403220143), we get a palindrome (3813443183).

The spelling of 3410223040 in words is "three billion, four hundred ten million, two hundred twenty-three thousand, forty".