3301143040 has 160 divisors (see below), whose sum is σ = 8578419696. Its totient is φ = 1211105280.

The previous prime is 3301143031. The next prime is 3301143061. The reversal of 3301143040 is 403411033.

It can be written as a sum of positive squares in 8 ways, for example, as 936849664 + 2364293376 = 30608^2 + 48624^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×3301143040⁴ (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3301142999 and 3301143017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9351504 + ... + 9351856.

Almost surely, 2^3301143040 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 3301143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289209848).

3301143040 is an abundant number, since it is smaller than the sum of its proper divisors (5277276656).

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

3301143040 is a wasteful number, since it uses less digits than its factorization.

3301143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3301143040 is about 57455.5744902094. The cubic root of 3301143040 is about 1488.9774284946.

Adding to 3301143040 its reverse (403411033), we get a palindrome (3704554073).

The spelling of 3301143040 in words is "three billion, three hundred one million, one hundred forty-three thousand, forty".