3008015040 has 224 divisors, whose sum is σ = 9837480960. Its totient is φ = 778346496.

The previous prime is 3008015029. The next prime is 3008015041. The reversal of 3008015040 is 405108003.

It is a junction number, because it is equal to n+sod(n) for n = 3008014998 and 3008015016.

It is not an unprimeable number, because it can be changed into a prime (3008015041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7354356 + ... + 7354764.

Almost surely, 2^3008015040 is an apocalyptic number.

3008015040 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 3008015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918740480).

3008015040 is an abundant number, since it is smaller than the sum of its proper divisors (6829465920).

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

3008015040 is a wasteful number, since it uses less digits than its factorization.

3008015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3008015040 is about 54845.3739161290. The cubic root of 3008015040 is about 1443.5328379355.

The spelling of 3008015040 in words is "three billion, eight million, fifteen thousand, forty".