3977424 has 140 divisors (see below), whose sum is σ = 13011072. Its totient is φ = 1166400.

The previous prime is 3977419. The next prime is 3977429. The reversal of 3977424 is 4247793.

It is an interprime number because it is at equal distance from previous prime (3977419) and next prime (3977429).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3977429) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128289 + ... + 128319.

Almost surely, 2^3977424 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 3977424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505536).

3977424 is an abundant number, since it is smaller than the sum of its proper divisors (9033648).

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

3977424 is a wasteful number, since it uses less digits than its factorization.

3977424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3977424 is about 1994.3480137629. The cubic root of 3977424 is about 158.4408985301.

The spelling of 3977424 in words is "three million, nine hundred seventy-seven thousand, four hundred twenty-four".