3320013440 has 64 divisors (see below), whose sum is σ = 7984690560. Its totient is φ = 1320010752.

The previous prime is 3320013427. The next prime is 3320013481. The reversal of 3320013440 is 443100233.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3320013440² = 22044978483561267200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91349 + ... + 122411.

It is an arithmetic number, because the mean of its divisors is an integer number (124760790).

Almost surely, 2^3320013440 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 3320013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992345280).

3320013440 is an abundant number, since it is smaller than the sum of its proper divisors (4664677120).

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

3320013440 is a wasteful number, since it uses less digits than its factorization.

3320013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31249 (or 31237 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3320013440 is about 57619.5577907363. The cubic root of 3320013440 is about 1491.8091982166.

Adding to 3320013440 its reverse (443100233), we get a palindrome (3763113673).

The spelling of 3320013440 in words is "three billion, three hundred twenty million, thirteen thousand, four hundred forty".