3867751555600 has 135 divisors (see below), whose sum is σ = 9390146184237. Its totient is φ = 1530974010240.

The previous prime is 3867751555597. The next prime is 3867751555601. The reversal of 3867751555600 is 65551577683.

The square root of 3867751555600 is 1966660.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1392390560016 + 2475360995584 = 1179996^2 + 1573328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3867751555601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 4208651941 + ... + 4208652859.

Almost surely, 2^{3867751555600} is an apocalyptic number.

3867751555600 is the 1966660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3867751555600

3867751555600 is an abundant number, since it is smaller than the sum of its proper divisors (5522394628637).

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

3867751555600 is an frugal number, since it uses more digits than its factorization.

3867751555600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 26460000, while the sum is 58.

The spelling of 3867751555600 in words is "three trillion, eight hundred sixty-seven billion, seven hundred fifty-one million, five hundred fifty-five thousand, six hundred".