3008233872 has 270 divisors, whose sum is σ = 10058036118. Its totient is φ = 836849664.

The previous prime is 3008233867. The next prime is 3008233873. The reversal of 3008233872 is 2783328003.

It can be written as a sum of positive squares in only one way, i.e., 2244485376 + 763748496 = 47376^2 + 27636^2 .

It is a super-2 number, since 2×3008233872² = 18098942057296224768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3008233873) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 15586608 + ... + 15586800.

Almost surely, 2^3008233872 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 3008233872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029018059).

3008233872 is an abundant number, since it is smaller than the sum of its proper divisors (7049802246).

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

3008233872 is a wasteful number, since it uses less digits than its factorization.

3008233872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3008233872 is about 54847.3688703478. The cubic root of 3008233872 is about 1443.5678425830.

The spelling of 3008233872 in words is "three billion, eight million, two hundred thirty-three thousand, eight hundred seventy-two".