3977360 has 40 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 1569152.

The previous prime is 3977353. The next prime is 3977377. The reversal of 3977360 is 637793.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3977360.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6341 + ... + 6939.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^3977360 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 3977360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

3977360 is an abundant number, since it is smaller than the sum of its proper divisors (5397040).

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

3977360 is a wasteful number, since it uses less digits than its factorization.

3977360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 35.

The square root of 3977360 is about 1994.3319683543. The cubic root of 3977360 is about 158.4400487111.

The spelling of 3977360 in words is "three million, nine hundred seventy-seven thousand, three hundred sixty".