3018728000 has 112 divisors (see below), whose sum is σ = 7502487408. Its totient is φ = 1203200000.

The previous prime is 3018727997. The next prime is 3018728003. The reversal of 3018728000 is 8278103.

It is an interprime number because it is at equal distance from previous prime (3018727997) and next prime (3018728003).

It can be written as a sum of positive squares in 8 ways, for example, as 121705024 + 2897022976 = 11032^2 + 53824^2 .

It is a super-2 number, since 2×3018728000² = 18225437475968000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3018728003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3207530 + ... + 3208470.

Almost surely, 2^3018728000 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 3018728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751243704).

3018728000 is an abundant number, since it is smaller than the sum of its proper divisors (4483759408).

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

3018728000 is an equidigital number, since it uses as much as digits as its factorization.

3018728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 3018728000 is about 54942.9522322927. The cubic root of 3018728000 is about 1445.2445078996.

The spelling of 3018728000 in words is "three billion, eighteen million, seven hundred twenty-eight thousand".