3311096940 has 240 divisors, whose sum is σ = 11056399200. Its totient is φ = 827117568.

The previous prime is 3311096939. The next prime is 3311096947. The reversal of 3311096940 is 496901133.

3311096940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3311096895 and 3311096904.

It is not an unprimeable number, because it can be changed into a prime (3311096947) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2985106 + ... + 2986214.

It is an arithmetic number, because the mean of its divisors is an integer number (46068330).

Almost surely, 2^3311096940 is an apocalyptic number.

3311096940 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 3311096940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528199600).

3311096940 is an abundant number, since it is smaller than the sum of its proper divisors (7745302260).

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

3311096940 is a wasteful number, since it uses less digits than its factorization.

3311096940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3311096940 is about 57542.1318687447. The cubic root of 3311096940 is about 1490.4724925260.

The spelling of 3311096940 in words is "three billion, three hundred eleven million, ninety-six thousand, nine hundred forty".