3087942566400 has 960 divisors, whose sum is σ = 11840771606400. Its totient is φ = 787423887360.

The previous prime is 3087942566381. The next prime is 3087942566413. The reversal of 3087942566400 is 46652497803.

3087942566400 is a `hidden beast` number, since 3 + 0 + 8 + 79 + 4 + 2 + 566 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754442754 + ... + 754446846.

It is an arithmetic number, because the mean of its divisors is an integer number (12334137090).

Almost surely, 2^{3087942566400} is an apocalyptic number.

3087942566400 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 3087942566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920385803200).

3087942566400 is an abundant number, since it is smaller than the sum of its proper divisors (8752829040000).

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

3087942566400 is a wasteful number, since it uses less digits than its factorization.

3087942566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3087942566400 in words is "three trillion, eighty-seven billion, nine hundred forty-two million, five hundred sixty-six thousand, four hundred".