3830640 has 80 divisors (see below), whose sum is σ = 12963456. Its totient is φ = 928000.

The previous prime is 3830623. The next prime is 3830669. The reversal of 3830640 is 460383.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3830640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1915 + ... + 3365.

Almost surely, 2^3830640 is an apocalyptic number.

3830640 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 3830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481728).

3830640 is an abundant number, since it is smaller than the sum of its proper divisors (9132816).

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

3830640 is a wasteful number, since it uses less digits than its factorization.

3830640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3830640 is about 1957.2020846096. The cubic root of 3830640 is about 156.4673689312.

The spelling of 3830640 in words is "three million, eight hundred thirty thousand, six hundred forty".