3820824 has 144 divisors (see below), whose sum is σ = 13030200. Its totient is φ = 1034208.

The previous prime is 3820813. The next prime is 3820841. The reversal of 3820824 is 4280283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201087 + ... + 201105.

Almost surely, 2^3820824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3820824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515100).

3820824 is an abundant number, since it is smaller than the sum of its proper divisors (9209376).

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

3820824 is a wasteful number, since it uses less digits than its factorization.

3820824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3820824 is about 1954.6928147410. The cubic root of 3820824 is about 156.3336056033. Note that the first 3 decimals are identical.

The spelling of 3820824 in words is "three million, eight hundred twenty thousand, eight hundred twenty-four".