3867714055296 has 1152 divisors, whose sum is σ = 14885612352000. Its totient is φ = 959771344896.

The previous prime is 3867714055259. The next prime is 3867714055297. The reversal of 3867714055296 is 6925504177683.

3867714055296 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 71 + 4 + 0 + 552 + 9 + 6 = 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 (63).

It is not an unprimeable number, because it can be changed into a prime (3867714055297) 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 143 ways as a sum of consecutive naturals, for example, 1135224025 + ... + 1135227431.

It is an arithmetic number, because the mean of its divisors is an integer number (12921538500).

It is a 1-persistent number, because it is pandigital, but 2⋅3867714055296 = 7735428110592 is not.

Almost surely, 2^{3867714055296} is an apocalyptic number.

3867714055296 is a gapful number since it is divisible by the number (36) 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 3867714055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442806176000).

3867714055296 is an abundant number, since it is smaller than the sum of its proper divisors (11017898296704).

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

3867714055296 is a wasteful number, since it uses less digits than its factorization.

3867714055296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 3867714055296 in words is "three trillion, eight hundred sixty-seven billion, seven hundred fourteen million, fifty-five thousand, two hundred ninety-six".