3320134440 has 128 divisors (see below), whose sum is σ = 11416584960. Its totient is φ = 756670464.

The previous prime is 3320134429. The next prime is 3320134469. The reversal of 3320134440 is 444310233.

3320134440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3320134440² = 22046585399348227200, which contains 22 as substring.

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 3320134440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290922 + ... + 302118.

It is an arithmetic number, because the mean of its divisors is an integer number (89192070).

Almost surely, 2^3320134440 is an apocalyptic number.

3320134440 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 3320134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708292480).

3320134440 is an abundant number, since it is smaller than the sum of its proper divisors (8096450520).

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

3320134440 is a wasteful number, since it uses less digits than its factorization.

3320134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11571 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3320134440 is about 57620.6077718727. The cubic root of 3320134440 is about 1491.8273213079.

Adding to 3320134440 its reverse (444310233), we get a palindrome (3764444673).

The spelling of 3320134440 in words is "three billion, three hundred twenty million, one hundred thirty-four thousand, four hundred forty".