3978000 has 240 divisors, whose sum is σ = 15842736. Its totient is φ = 921600.

The previous prime is 3977999. The next prime is 3978031. The reversal of 3978000 is 8793.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1468944 + 2509056 = 1212^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233992 + ... + 234008.

Almost surely, 2^3978000 is an apocalyptic number.

3978000 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 3978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921368).

3978000 is an abundant number, since it is smaller than the sum of its proper divisors (11864736).

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

3978000 is a wasteful number, since it uses less digits than its factorization.

3978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3978000 is about 1994.4924166314. The cubic root of 3978000 is about 158.4485464912.

The spelling of 3978000 in words is "three million, nine hundred seventy-eight thousand".