3967756800 has 480 divisors, whose sum is σ = 15526684800. Its totient is φ = 873922560.

The previous prime is 3967756777. The next prime is 3967756813. The reversal of 3967756800 is 86577693.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7794946 + ... + 7795454.

It is an arithmetic number, because the mean of its divisors is an integer number (32347260).

Almost surely, 2^3967756800 is an apocalyptic number.

3967756800 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 3967756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763342400).

3967756800 is an abundant number, since it is smaller than the sum of its proper divisors (11558928000).

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

3967756800 is a wasteful number, since it uses less digits than its factorization.

3967756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 3967756800 is about 62990.1325605844. The cubic root of 3967756800 is about 1583.1242991509.

The spelling of 3967756800 in words is "three billion, nine hundred sixty-seven million, seven hundred fifty-six thousand, eight hundred".