3087957442752 has 1680 divisors, whose sum is σ = 12338012842848. Its totient is φ = 754140119040.

The previous prime is 3087957442733. The next prime is 3087957442763. The reversal of 3087957442752 is 2572447597803.

It is a happy number.

3087957442752 is a `hidden beast` number, since 3 + 0 + 8 + 7 + 9 + 574 + 4 + 2 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3087957442752.

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 239 ways as a sum of consecutive naturals, for example, 3761214502 + ... + 3761215322.

Almost surely, 2^{3087957442752} is an apocalyptic number.

3087957442752 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 3087957442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169006421424).

3087957442752 is an abundant number, since it is smaller than the sum of its proper divisors (9250055400096).

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

3087957442752 is a wasteful number, since it uses less digits than its factorization.

3087957442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 3087957442752 in words is "three trillion, eighty-seven billion, nine hundred fifty-seven million, four hundred forty-two thousand, seven hundred fifty-two".