3868866299520 has 1152 divisors, whose sum is σ = 15569545118400. Its totient is φ = 879684157440.

The previous prime is 3868866299479. The next prime is 3868866299533. The reversal of 3868866299520 is 259926688683.

3868866299520 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 8 + 6 + 6 + 2 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 984191955 + ... + 984195885.

Almost surely, 2^{3868866299520} is an apocalyptic number.

3868866299520 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 3868866299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7784772559200).

3868866299520 is an abundant number, since it is smaller than the sum of its proper divisors (11700678818880).

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

3868866299520 is a wasteful number, since it uses less digits than its factorization.

3868866299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 3868866299520 in words is "three trillion, eight hundred sixty-eight billion, eight hundred sixty-six million, two hundred ninety-nine thousand, five hundred twenty".