3008724480 has 640 divisors, whose sum is σ = 11784960000. Its totient is φ = 724598784.

The previous prime is 3008724479. The next prime is 3008724497. The reversal of 3008724480 is 844278003.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38085081 + ... + 38085159.

It is an arithmetic number, because the mean of its divisors is an integer number (18414000).

Almost surely, 2^3008724480 is an apocalyptic number.

3008724480 is a gapful number since it is divisible by the number (30) 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 3008724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480000).

3008724480 is an abundant number, since it is smaller than the sum of its proper divisors (8776235520).

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

3008724480 is a wasteful number, since it uses less digits than its factorization.

3008724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3008724480 is about 54851.8411723800. The cubic root of 3008724480 is about 1443.6463146992.

The spelling of 3008724480 in words is "three billion, eight million, seven hundred twenty-four thousand, four hundred eighty".