3977568 has 72 divisors (see below), whose sum is σ = 12933648. Its totient is φ = 1135872.

The previous prime is 3977549. The next prime is 3977569. The reversal of 3977568 is 8657793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1030 + ... + 3002.

It is an arithmetic number, because the mean of its divisors is an integer number (179634).

Almost surely, 2^3977568 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 3977568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466824).

3977568 is an abundant number, since it is smaller than the sum of its proper divisors (8956080).

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

3977568 is a wasteful number, since it uses less digits than its factorization.

3977568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1985 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 3977568 is about 1994.3841154602. The cubic root of 3977568 is about 158.4428105896.

The spelling of 3977568 in words is "three million, nine hundred seventy-seven thousand, five hundred sixty-eight".