3833940 has 96 divisors (see below), whose sum is σ = 12104064. Its totient is φ = 898560.

The previous prime is 3833927. The next prime is 3833971. The reversal of 3833940 is 493383.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3833898 and 3833907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24342 + ... + 24498.

It is an arithmetic number, because the mean of its divisors is an integer number (126084).

Almost surely, 2^3833940 is an apocalyptic number.

3833940 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 3833940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052032).

3833940 is an abundant number, since it is smaller than the sum of its proper divisors (8270124).

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

3833940 is a wasteful number, since it uses less digits than its factorization.

3833940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3833940 is about 1958.0449433044. The cubic root of 3833940 is about 156.5122869359.

The spelling of 3833940 in words is "three million, eight hundred thirty-three thousand, nine hundred forty".