3933828 has 36 divisors (see below), whose sum is σ = 10378368. Its totient is φ = 1254000.

The previous prime is 3933823. The next prime is 3933841. The reversal of 3933828 is 8283393.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 3933792 and 3933801.

It is not an unprimeable number, because it can be changed into a prime (3933823) 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, 1548 + ... + 3203.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 2^3933828 is an apocalyptic number.

It is an amenable number.

3933828 is an abundant number, since it is smaller than the sum of its proper divisors (6444540).

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

3933828 is a wasteful number, since it uses less digits than its factorization.

3933828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4779 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3933828 is about 1983.3880104508. The cubic root of 3933828 is about 157.8598875370.

It can be divided in two parts, 3933 and 828, that added together give a square (4761 = 69²).

The spelling of 3933828 in words is "three million, nine hundred thirty-three thousand, eight hundred twenty-eight".