3024249984 has 192 divisors, whose sum is σ = 10027530240. Its totient is φ = 856977408.

The previous prime is 3024249983. The next prime is 3024250027. The reversal of 3024249984 is 4899424203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3024249983) 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, 1022652 + ... + 1025604.

It is an arithmetic number, because the mean of its divisors is an integer number (52226720).

Almost surely, 2^3024249984 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 3024249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013765120).

3024249984 is an abundant number, since it is smaller than the sum of its proper divisors (7003280256).

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

3024249984 is a wasteful number, since it uses less digits than its factorization.

3024249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3024249984 is about 54993.1812500423. The cubic root of 3024249984 is about 1446.1252050926.

The spelling of 3024249984 in words is "three billion, twenty-four million, two hundred forty-nine thousand, nine hundred eighty-four".