3311924640 has 96 divisors (see below), whose sum is σ = 10479684096. Its totient is φ = 879191040.

The previous prime is 3311924639. The next prime is 3311924647. The reversal of 3311924640 is 464291133.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3311924647) 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, 91570 + ... + 122510.

It is an arithmetic number, because the mean of its divisors is an integer number (109163376).

Almost surely, 2^3311924640 is an apocalyptic number.

3311924640 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 3311924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239842048).

3311924640 is an abundant number, since it is smaller than the sum of its proper divisors (7167759456).

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

3311924640 is a wasteful number, since it uses less digits than its factorization.

3311924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31182 (or 31174 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3311924640 is about 57549.3235407681. The cubic root of 3311924640 is about 1490.5966770810.

The spelling of 3311924640 in words is "three billion, three hundred eleven million, nine hundred twenty-four thousand, six hundred forty".