3813360 has 40 divisors (see below), whose sum is σ = 11822160. Its totient is φ = 1016832.

The previous prime is 3813353. The next prime is 3813379. The reversal of 3813360 is 633183.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3813360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7705 + ... + 8184.

It is an arithmetic number, because the mean of its divisors is an integer number (295554).

Almost surely, 2^3813360 is an apocalyptic number.

3813360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3813360 is an abundant number, since it is smaller than the sum of its proper divisors (8008800).

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

3813360 is a wasteful number, since it uses less digits than its factorization.

3813360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15905 (or 15899 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3813360 is about 1952.7826299924. The cubic root of 3813360 is about 156.2317397328.

It can be divided in two parts, 381 and 3360, that added together give a triangular number (3741 = T₈₆).

The spelling of 3813360 in words is "three million, eight hundred thirteen thousand, three hundred sixty".