3807828 has 54 divisors (see below), whose sum is σ = 10193274. Its totient is φ = 1198368.

The previous prime is 3807827. The next prime is 3807833. The reversal of 3807828 is 8287083.

It can be written as a sum of positive squares in only one way, i.e., 3755844 + 51984 = 1938^2 + 228^2 .

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 = 3807792 and 3807801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3807827) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12850 + ... + 13142.

Almost surely, 2^3807828 is an apocalyptic number.

3807828 is a gapful number since it is divisible by the number (38) 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 3807828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096637).

3807828 is an abundant number, since it is smaller than the sum of its proper divisors (6385446).

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

3807828 is a wasteful number, since it uses less digits than its factorization.

3807828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3807828 is about 1951.3656756231. The cubic root of 3807828 is about 156.1561552742.

The spelling of 3807828 in words is "three million, eight hundred seven thousand, eight hundred twenty-eight".