3771960 has 96 divisors (see below), whose sum is σ = 12266640. Its totient is φ = 924672.

The previous prime is 3771953. The next prime is 3771967. The reversal of 3771960 is 691773.

3771960 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 (3771953) and next prime (3771967).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3771967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 87699 + ... + 87741.

Almost surely, 2^3771960 is an apocalyptic number.

3771960 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 3771960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133320).

3771960 is an abundant number, since it is smaller than the sum of its proper divisors (8494680).

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

3771960 is a wasteful number, since it uses less digits than its factorization.

3771960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 70 counting only the distinct ones).

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

The square root of 3771960 is about 1942.1534439894. The cubic root of 3771960 is about 155.6643011337.

The spelling of 3771960 in words is "three million, seven hundred seventy-one thousand, nine hundred sixty".