3311417772 has 108 divisors (see below), whose sum is σ = 9088541280. Its totient is φ = 1016136576.

The previous prime is 3311417771. The next prime is 3311417789. The reversal of 3311417772 is 2777141133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3311417771) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4374018 + ... + 4374774.

It is an arithmetic number, because the mean of its divisors is an integer number (84153160).

Almost surely, 2^3311417772 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 3311417772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544270640).

3311417772 is an abundant number, since it is smaller than the sum of its proper divisors (5777123508).

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

3311417772 is a wasteful number, since it uses less digits than its factorization.

3311417772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1494 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 3311417772 is about 57544.9196019944. The cubic root of 3311417772 is about 1490.5206312380.

The spelling of 3311417772 in words is "three billion, three hundred eleven million, four hundred seventeen thousand, seven hundred seventy-two".