3978960 has 80 divisors (see below), whose sum is σ = 12588480. Its totient is φ = 1039360.

The previous prime is 3978917. The next prime is 3978967. The reversal of 3978960 is 698793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14020 + ... + 14300.

It is an arithmetic number, because the mean of its divisors is an integer number (157356).

Almost surely, 2^3978960 is an apocalyptic number.

3978960 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 3978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294240).

3978960 is an abundant number, since it is smaller than the sum of its proper divisors (8609520).

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

3978960 is a wasteful number, since it uses less digits than its factorization.

3978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3978960 is about 1994.7330648485. The cubic root of 3978960 is about 158.4612914527.

The spelling of 3978960 in words is "three million, nine hundred seventy-eight thousand, nine hundred sixty".