3011006720 has 72 divisors (see below), whose sum is σ = 7407345624. Its totient is φ = 1171832832.

The previous prime is 3011006671. The next prime is 3011006723. The reversal of 3011006720 is 276001103.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1689538816 + 1321467904 = 41104^2 + 36352^2 .

It is a super-2 number, since 2×3011006720² = 18132322935770316800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3011006692 and 3011006701.

It is not an unprimeable number, because it can be changed into a prime (3011006723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15572 + ... + 79148.

Almost surely, 2^3011006720 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 3011006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703672812).

3011006720 is an abundant number, since it is smaller than the sum of its proper divisors (4396338904).

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

3011006720 is an equidigital number, since it uses as much as digits as its factorization.

3011006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63635 (or 63621 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 3011006720 is about 54872.6409060107. The cubic root of 3011006720 is about 1444.0112439432.

Adding to 3011006720 its reverse (276001103), we get a palindrome (3287007823).

The spelling of 3011006720 in words is "three billion, eleven million, six thousand, seven hundred twenty".