3829680 has 120 divisors (see below), whose sum is σ = 13405392. Its totient is φ = 1016064.

The previous prime is 3829673. The next prime is 3829681. The reversal of 3829680 is 869283.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3829681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19342 + ... + 19538.

Almost surely, 2^3829680 is an apocalyptic number.

3829680 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 3829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702696).

3829680 is an abundant number, since it is smaller than the sum of its proper divisors (9575712).

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

3829680 is a wasteful number, since it uses less digits than its factorization.

3829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3829680 is about 1956.9568211895. The cubic root of 3829680 is about 156.4542970317.

The spelling of 3829680 in words is "three million, eight hundred twenty-nine thousand, six hundred eighty".