3311024640 has 480 divisors, whose sum is σ = 13322897280. Its totient is φ = 686653440.

The previous prime is 3311024617. The next prime is 3311024641. The reversal of 3311024640 is 464201133.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3311024640.

It is not an unprimeable number, because it can be changed into a prime (3311024641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6504706 + ... + 6505214.

It is an arithmetic number, because the mean of its divisors is an integer number (27756036).

Almost surely, 2^3311024640 is an apocalyptic number.

3311024640 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 3311024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661448640).

3311024640 is an abundant number, since it is smaller than the sum of its proper divisors (10011872640).

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

3311024640 is a wasteful number, since it uses less digits than its factorization.

3311024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3311024640 is about 57541.5036299887. The cubic root of 3311024640 is about 1490.4616439615.

Adding to 3311024640 its reverse (464201133), we get a palindrome (3775225773).

The spelling of 3311024640 in words is "three billion, three hundred eleven million, twenty-four thousand, six hundred forty".