3823680 has 112 divisors (see below), whose sum is σ = 13898880. Its totient is φ = 872448.

The previous prime is 3823661. The next prime is 3823697. The reversal of 3823680 is 863283.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6436 + ... + 7004.

Almost surely, 2^3823680 is an apocalyptic number.

3823680 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 3823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949440).

3823680 is an abundant number, since it is smaller than the sum of its proper divisors (10075200).

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

3823680 is a wasteful number, since it uses less digits than its factorization.

3823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3823680 is about 1955.4232278461. The cubic root of 3823680 is about 156.3725481261.

The spelling of 3823680 in words is "three million, eight hundred twenty-three thousand, six hundred eighty".