3814560 has 96 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1016064.

The previous prime is 3814553. The next prime is 3814561. The reversal of 3814560 is 654183.

3814560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3814561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3879 + ... + 4761.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 2^3814560 is an apocalyptic number.

3814560 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 3814560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

3814560 is an abundant number, since it is smaller than the sum of its proper divisors (9551520).

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

3814560 is a wasteful number, since it uses less digits than its factorization.

3814560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3814560 is about 1953.0898596839. The cubic root of 3814560 is about 156.2481258442.

The spelling of 3814560 in words is "three million, eight hundred fourteen thousand, five hundred sixty".