3977672 has 32 divisors (see below), whose sum is σ = 7898880. Its totient is φ = 1874880.

The previous prime is 3977663. The next prime is 3977681. The reversal of 3977672 is 2767793.

3977672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3977663) and next prime (3977681).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10478 + ... + 10850.

It is an arithmetic number, because the mean of its divisors is an integer number (246840).

Almost surely, 2^3977672 is an apocalyptic number.

It is an amenable number.

3977672 is a deficient number, since it is larger than the sum of its proper divisors (3921208).

3977672 is a wasteful number, since it uses less digits than its factorization.

3977672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its digits is 111132, while the sum is 41.

The square root of 3977672 is about 1994.4101885019. The cubic root of 3977672 is about 158.4441914928. Note that the first 3 decimals are identical.

Adding to 3977672 its product of digits (111132), we get a palindrome (4088804).

The spelling of 3977672 in words is "three million, nine hundred seventy-seven thousand, six hundred seventy-two".