3801960 has 96 divisors (see below), whose sum is σ = 12636000. Its totient is φ = 991104.

The previous prime is 3801953. The next prime is 3801977. The reversal of 3801960 is 691083.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21151 + ... + 21329.

It is an arithmetic number, because the mean of its divisors is an integer number (131625).

Almost surely, 2^3801960 is an apocalyptic number.

3801960 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 3801960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318000).

3801960 is an abundant number, since it is smaller than the sum of its proper divisors (8834040).

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

3801960 is a wasteful number, since it uses less digits than its factorization.

3801960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3801960 is about 1949.8615335454. The cubic root of 3801960 is about 156.0758999494.

It can be divided in two parts, 3801 and 960, that added together give a square (4761 = 69²).

The spelling of 3801960 in words is "three million, eight hundred one thousand, nine hundred sixty".