3301045440 has 224 divisors, whose sum is σ = 13067288064. Its totient is φ = 685916160.

The previous prime is 3301045421. The next prime is 3301045453. The reversal of 3301045440 is 445401033.

It is a tau number, because it is divible by the number of its divisors (224).

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 3301045440.

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 31 ways as a sum of consecutive naturals, for example, 51592 + ... + 96248.

Almost surely, 2^3301045440 is an apocalyptic number.

3301045440 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 3301045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533644032).

3301045440 is an abundant number, since it is smaller than the sum of its proper divisors (9766242624).

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

3301045440 is a wasteful number, since it uses less digits than its factorization.

3301045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44695 (or 44685 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3301045440 is about 57454.7251320551. The cubic root of 3301045440 is about 1488.9627542209.

Adding to 3301045440 its reverse (445401033), we get a palindrome (3746446473).

The spelling of 3301045440 in words is "three billion, three hundred one million, forty-five thousand, four hundred forty".