3001213440 has 120 divisors (see below), whose sum is σ = 10394126028. Its totient is φ = 800317440.

The previous prime is 3001213429. The next prime is 3001213483. The reversal of 3001213440 is 443121003.

3001213440 is a `hidden beast` number, since 300 + 1 + 21 + 344 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2999533824 + 1679616 = 54768^2 + 1296^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3001213440² = 18014564224873267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42091 + ... + 88170.

Almost surely, 2^3001213440 is an apocalyptic number.

3001213440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001213440 is an abundant number, since it is smaller than the sum of its proper divisors (7392912588).

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

3001213440 is a wasteful number, since it uses less digits than its factorization.

3001213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130290 (or 130271 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3001213440 is about 54783.3317716256. The cubic root of 3001213440 is about 1442.4439977978.

Adding to 3001213440 its reverse (443121003), we get a palindrome (3444334443).

The spelling of 3001213440 in words is "three billion, one million, two hundred thirteen thousand, four hundred forty".