3860987925600 has 2592 divisors, whose sum is σ = 16785149681664. Its totient is φ = 861754982400.

The previous prime is 3860987925581. The next prime is 3860987925623. The reversal of 3860987925600 is 65297890683.

3860987925600 is a `hidden beast` number, since 3 + 8 + 60 + 9 + 8 + 7 + 9 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×3860987925600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17313847089 + ... + 17313847311.

It is an arithmetic number, because the mean of its divisors is an integer number (6475752192).

Almost surely, 2^{3860987925600} is an apocalyptic number.

3860987925600 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 3860987925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392574840832).

3860987925600 is an abundant number, since it is smaller than the sum of its proper divisors (12924161756064).

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

3860987925600 is a wasteful number, since it uses less digits than its factorization.

3860987925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3860987925600 in words is "three trillion, eight hundred sixty billion, nine hundred eighty-seven million, nine hundred twenty-five thousand, six hundred".