3978625200 has 480 divisors, whose sum is σ = 14586780672. Its totient is φ = 926182400.

The previous prime is 3978625151. The next prime is 3978625271. The reversal of 3978625200 is 25268793.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75068374 + ... + 75068426.

Almost surely, 2^3978625200 is an apocalyptic number.

3978625200 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 3978625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293390336).

3978625200 is an abundant number, since it is smaller than the sum of its proper divisors (10608155472).

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

3978625200 is a wasteful number, since it uses less digits than its factorization.

3978625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3978625200 is about 63076.3442187323. The cubic root of 3978625200 is about 1584.5684688020.

The spelling of 3978625200 in words is "three billion, nine hundred seventy-eight million, six hundred twenty-five thousand, two hundred".