3978816000 has 640 divisors, whose sum is σ = 14891475456. Its totient is φ = 937164800.

The previous prime is 3978815959. The next prime is 3978816007. The reversal of 3978816000 is 6188793.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (3978816007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75071974 + ... + 75072026.

Almost surely, 2^3978816000 is an apocalyptic number.

3978816000 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 3978816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445737728).

3978816000 is an abundant number, since it is smaller than the sum of its proper divisors (10912659456).

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

3978816000 is a wasteful number, since it uses less digits than its factorization.

3978816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 3978816000 is about 63077.8566535040. The cubic root of 3978816000 is about 1584.5937983916.

The spelling of 3978816000 in words is "three billion, nine hundred seventy-eight million, eight hundred sixteen thousand".