3001641984 has 264 divisors, whose sum is σ = 9790719120. Its totient is φ = 877363200.

The previous prime is 3001641949. The next prime is 3001642001. The reversal of 3001641984 is 4891461003.

3001641984 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 641 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×3001641984² = 18019709200222912512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2939394 + ... + 2940414.

Almost surely, 2^3001641984 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 3001641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895359560).

3001641984 is an abundant number, since it is smaller than the sum of its proper divisors (6789077136).

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

3001641984 is a wasteful number, since it uses less digits than its factorization.

3001641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3001641984 is about 54787.2428946739. The cubic root of 3001641984 is about 1442.5126501739.

The spelling of 3001641984 in words is "three billion, one million, six hundred forty-one thousand, nine hundred eighty-four".