3087840000 has 360 divisors, whose sum is σ = 11749239040. Its totient is φ = 705024000.

The previous prime is 3087839983. The next prime is 3087840017. The reversal of 3087840000 is 487803.

It is an interprime number because it is at equal distance from previous prime (3087839983) and next prime (3087840017).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3087840000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359541 + ... + 3360459.

Almost surely, 2^3087840000 is an apocalyptic number.

3087840000 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 3087840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874619520).

3087840000 is an abundant number, since it is smaller than the sum of its proper divisors (8661399040).

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

3087840000 is an frugal number, since it uses more digits than its factorization.

3087840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3087840000 is about 55568.3363076492. The cubic root of 3087840000 is about 1456.1907329733.

The spelling of 3087840000 in words is "three billion, eighty-seven million, eight hundred forty thousand".