3006770140 has 72 divisors (see below), whose sum is σ = 7305817680. Its totient is φ = 1035809280.

The previous prime is 3006770131. The next prime is 3006770147. The reversal of 3006770140 is 410776003.

It is a junction number, because it is equal to n+sod(n) for n = 3006770099 and 3006770108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006770147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13284 + ... + 78676.

It is an arithmetic number, because the mean of its divisors is an integer number (101469690).

Almost surely, 2^3006770140 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 3006770140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652908840).

3006770140 is an abundant number, since it is smaller than the sum of its proper divisors (4299047540).

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

3006770140 is a wasteful number, since it uses less digits than its factorization.

3006770140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65443 (or 65430 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 3006770140 is about 54834.0235620185. The cubic root of 3006770140 is about 1443.3336698271. Note that the first 3 decimals are identical.

It can be divided in two parts, 3006 and 770140, that added together give a triangular number (773146 = T₁₂₄₃).

The spelling of 3006770140 in words is "three billion, six million, seven hundred seventy thousand, one hundred forty".