3001985676 has 72 divisors (see below), whose sum is σ = 7869467424. Its totient is φ = 964120320.

The previous prime is 3001985671. The next prime is 3001985689. The reversal of 3001985676 is 6765891003.

3001985676 = T₁₂₇₂₀ + T₁₂₇₂₁ + ... + T₁₂₇₅₆.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3001985671) 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 23 ways as a sum of consecutive naturals, for example, 126256 + ... + 148136.

Almost surely, 2^3001985676 is an apocalyptic number.

3001985676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001985676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934733712).

3001985676 is an abundant number, since it is smaller than the sum of its proper divisors (4867481748).

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

3001985676 is a wasteful number, since it uses less digits than its factorization.

3001985676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22031 (or 22026 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3001985676 is about 54790.3794109878. The cubic root of 3001985676 is about 1442.5677046117.

The spelling of 3001985676 in words is "three billion, one million, nine hundred eighty-five thousand, six hundred seventy-six".