3933160 has 64 divisors (see below), whose sum is σ = 11041920. Its totient is φ = 1224960.

The previous prime is 3933151. The next prime is 3933197. The reversal of 3933160 is 613393.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2442 + ... + 3718.

It is an arithmetic number, because the mean of its divisors is an integer number (172530).

Almost surely, 2^3933160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3933160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520960).

3933160 is an abundant number, since it is smaller than the sum of its proper divisors (7108760).

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

3933160 is a wasteful number, since it uses less digits than its factorization.

3933160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

The square root of 3933160 is about 1983.2196045824. The cubic root of 3933160 is about 157.8509516799.

It can be divided in two parts, 393 and 3160, that added together give a palindrome (3553).

The spelling of 3933160 in words is "three million, nine hundred thirty-three thousand, one hundred sixty".