3087340836300 has 1152 divisors, whose sum is σ = 11963714273280. Its totient is φ = 668366899200.

The previous prime is 3087340836299. The next prime is 3087340836319. The reversal of 3087340836300 is 36380437803.

3087340836300 is a `hidden beast` number, since 3 + 0 + 8 + 7 + 3 + 4 + 0 + 8 + 3 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5003793592 + ... + 5003794208.

It is an arithmetic number, because the mean of its divisors is an integer number (10385168640).

Almost surely, 2^{3087340836300} is an apocalyptic number.

3087340836300 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 3087340836300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981857136640).

3087340836300 is an abundant number, since it is smaller than the sum of its proper divisors (8876373436980).

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

3087340836300 is a wasteful number, since it uses less digits than its factorization.

3087340836300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3087340836300 in words is "three trillion, eighty-seven billion, three hundred forty million, eight hundred thirty-six thousand, three hundred".