3753960 has 128 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 829440.

The previous prime is 3753949. The next prime is 3753961. The reversal of 3753960 is 693573.

3753960 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

3753960 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3753961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34386 + ... + 34494.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

Almost surely, 2^3753960 is an apocalyptic number.

3753960 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 3753960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

3753960 is an abundant number, since it is smaller than the sum of its proper divisors (9551640).

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

3753960 is a wasteful number, since it uses less digits than its factorization.

3753960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 3753960 is about 1937.5138709181. The cubic root of 3753960 is about 155.4162933512.

The spelling of 3753960 in words is "three million, seven hundred fifty-three thousand, nine hundred sixty".