3002182272 has 256 divisors, whose sum is σ = 9341568000. Its totient is φ = 947358720.

The previous prime is 3002182219. The next prime is 3002182333. The reversal of 3002182272 is 2722812003.

It is a happy number.

It is a super-2 number, since 2×3002182272² = 18026196788622163968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14228247 + ... + 14228457.

It is an arithmetic number, because the mean of its divisors is an integer number (36490500).

Almost surely, 2^3002182272 is an apocalyptic number.

3002182272 is a gapful number since it is divisible by the number (32) 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 3002182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670784000).

3002182272 is an abundant number, since it is smaller than the sum of its proper divisors (6339385728).

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

3002182272 is a wasteful number, since it uses less digits than its factorization.

3002182272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3002182272 is about 54792.1734557044. The cubic root of 3002182272 is about 1442.5991945299.

Adding to 3002182272 its reverse (2722812003), we get a palindrome (5724994275).

The spelling of 3002182272 in words is "three billion, two million, one hundred eighty-two thousand, two hundred seventy-two".