3977160 has 128 divisors (see below), whose sum is σ = 13685760. Its totient is φ = 915200.

The previous prime is 3977159. The next prime is 3977161. The reversal of 3977160 is 617793.

It is an interprime number because it is at equal distance from previous prime (3977159) and next prime (3977161).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3977161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30295 + ... + 30425.

It is an arithmetic number, because the mean of its divisors is an integer number (106920).

Almost surely, 2^3977160 is an apocalyptic number.

3977160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3977160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842880).

3977160 is an abundant number, since it is smaller than the sum of its proper divisors (9708600).

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

3977160 is a wasteful number, since it uses less digits than its factorization.

3977160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 3977160 is about 1994.2818256204. The cubic root of 3977160 is about 158.4373929678.

It can be divided in two parts, 397 and 7160, that added together give a palindrome (7557).

The spelling of 3977160 in words is "three million, nine hundred seventy-seven thousand, one hundred sixty".