3978007200 has 504 divisors, whose sum is σ = 15369328800. Its totient is φ = 1002170880.

The previous prime is 3978007193. The next prime is 3978007207. The reversal of 3978007200 is 27008793.

It is an interprime number because it is at equal distance from previous prime (3978007193) and next prime (3978007207).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3978007207) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11080621 + ... + 11080979.

It is an arithmetic number, because the mean of its divisors is an integer number (30494700).

Almost surely, 2^3978007200 is an apocalyptic number.

3978007200 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 3978007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684664400).

3978007200 is an abundant number, since it is smaller than the sum of its proper divisors (11391321600).

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

3978007200 is a wasteful number, since it uses less digits than its factorization.

3978007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3978007200 is about 63071.4452030394. The cubic root of 3978007200 is about 1584.4864208606.

The spelling of 3978007200 in words is "three billion, nine hundred seventy-eight million, seven thousand, two hundred".