3978800 has 120 divisors (see below), whose sum is σ = 11532000. Its totient is φ = 1317120.

The previous prime is 3978781. The next prime is 3978803. The reversal of 3978800 is 88793.

3978800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3978803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137186 + ... + 137214.

It is an arithmetic number, because the mean of its divisors is an integer number (96100).

Almost surely, 2^3978800 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 3978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766000).

3978800 is an abundant number, since it is smaller than the sum of its proper divisors (7553200).

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

3978800 is a wasteful number, since it uses less digits than its factorization.

3978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 3978800 is about 1994.6929588285. The cubic root of 3978800 is about 158.4591674348.

The spelling of 3978800 in words is "three million, nine hundred seventy-eight thousand, eight hundred".