3977920 has 56 divisors (see below), whose sum is σ = 9802368. Its totient is φ = 1536000.

The previous prime is 3977903. The next prime is 3977921. The reversal of 3977920 is 297793.

It is a self number, because there is not a number n which added to its sum of digits gives 3977920.

It is not an unprimeable number, because it can be changed into a prime (3977921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9720 + ... + 10120.

Almost surely, 2^3977920 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 3977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901184).

3977920 is an abundant number, since it is smaller than the sum of its proper divisors (5824448).

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

3977920 is a wasteful number, since it uses less digits than its factorization.

3977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 37.

The square root of 3977920 is about 1994.4723613026. The cubic root of 3977920 is about 158.4474843185.

The spelling of 3977920 in words is "three million, nine hundred seventy-seven thousand, nine hundred twenty".