3814960 has 40 divisors (see below), whose sum is σ = 9084240. Its totient is φ = 1489152.

The previous prime is 3814957. The next prime is 3814961. The reversal of 3814960 is 694183.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3814961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2886 + ... + 3994.

It is an arithmetic number, because the mean of its divisors is an integer number (227106).

Almost surely, 2^3814960 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 3814960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542120).

3814960 is an abundant number, since it is smaller than the sum of its proper divisors (5269280).

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

3814960 is a wasteful number, since it uses less digits than its factorization.

3814960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3814960 is about 1953.1922588419. The cubic root of 3814960 is about 156.2535871176.

It can be divided in two parts, 3814 and 960, that added together give a palindrome (4774).

The spelling of 3814960 in words is "three million, eight hundred fourteen thousand, nine hundred sixty".