3967255756800 has 1080 divisors, whose sum is σ = 16957543762320. Its totient is φ = 906677452800.

The previous prime is 3967255756787. The next prime is 3967255756801. The reversal of 3967255756800 is 86575527693.

3967255756800 is a `hidden beast` number, since 3 + 9 + 6 + 72 + 557 + 5 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (3967255756801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 541897140 + ... + 541904460.

Almost surely, 2^{3967255756800} is an apocalyptic number.

3967255756800 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 3967255756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8478771881160).

3967255756800 is an abundant number, since it is smaller than the sum of its proper divisors (12990288005520).

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

3967255756800 is an equidigital number, since it uses as much as digits as its factorization.

3967255756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 3967255756800 in words is "three trillion, nine hundred sixty-seven billion, two hundred fifty-five million, seven hundred fifty-six thousand, eight hundred".