3011472640 has 144 divisors (see below), whose sum is σ = 8284086720. Its totient is φ = 1037352960.

The previous prime is 3011472637. The next prime is 3011472647. The reversal of 3011472640 is 462741103.

It is a super-2 number, since 2×3011472640² = 18137934922937139200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3011472599 and 3011472608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011472647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261892 + ... + 273148.

It is an arithmetic number, because the mean of its divisors is an integer number (57528380).

Almost surely, 2^3011472640 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 3011472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142043360).

3011472640 is an abundant number, since it is smaller than the sum of its proper divisors (5272614080).

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

3011472640 is a wasteful number, since it uses less digits than its factorization.

3011472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3011472640 is about 54876.8862090407. The cubic root of 3011472640 is about 1444.0857216934.

The spelling of 3011472640 in words is "three billion, eleven million, four hundred seventy-two thousand, six hundred forty".