3311413040 has 180 divisors, whose sum is σ = 8733878496. Its totient is φ = 1166989824.

The previous prime is 3311413033. The next prime is 3311413103. The reversal of 3311413040 is 403141133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7151849 + ... + 7152311.

Almost surely, 2^3311413040 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 3311413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366939248).

3311413040 is an abundant number, since it is smaller than the sum of its proper divisors (5422465456).

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

3311413040 is a wasteful number, since it uses less digits than its factorization.

3311413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3311413040 is about 57544.8784862737. The cubic root of 3311413040 is about 1490.5199212554.

Adding to 3311413040 its reverse (403141133), we get a palindrome (3714554173).

The spelling of 3311413040 in words is "three billion, three hundred eleven million, four hundred thirteen thousand, forty".