3811680 has 72 divisors (see below), whose sum is σ = 13012272. Its totient is φ = 1016064.

The previous prime is 3811669. The next prime is 3811681. The reversal of 3811680 is 861183.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3811681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117 + ... + 2763.

It is an arithmetic number, because the mean of its divisors is an integer number (180726).

Almost surely, 2^3811680 is an apocalyptic number.

3811680 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 3811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506136).

3811680 is an abundant number, since it is smaller than the sum of its proper divisors (9200592).

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

3811680 is a wasteful number, since it uses less digits than its factorization.

3811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3811680 is about 1952.3524272016. The cubic root of 3811680 is about 156.2087934005.

The spelling of 3811680 in words is "three million, eight hundred eleven thousand, six hundred eighty".