3978924400 has 180 divisors, whose sum is σ = 10787101992. Its totient is φ = 1398720000.

The previous prime is 3978924371. The next prime is 3978924401. The reversal of 3978924400 is 44298793.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978924401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4227930 + ... + 4228870.

Almost surely, 2^3978924400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3978924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393550996).

3978924400 is an abundant number, since it is smaller than the sum of its proper divisors (6808177592).

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

3978924400 is a wasteful number, since it uses less digits than its factorization.

3978924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 3978924400 is about 63078.7159032268. The cubic root of 3978924400 is about 1584.6081886364.

The spelling of 3978924400 in words is "three billion, nine hundred seventy-eight million, nine hundred twenty-four thousand, four hundred".