3819840 has 112 divisors (see below), whose sum is σ = 12728448. Its totient is φ = 968704.

The previous prime is 3819833. The next prime is 3819853. The reversal of 3819840 is 489183.

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, 21994 + ... + 22166.

Almost surely, 2^3819840 is an apocalyptic number.

3819840 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 3819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364224).

3819840 is an abundant number, since it is smaller than the sum of its proper divisors (8908608).

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

3819840 is a wasteful number, since it uses less digits than its factorization.

3819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 3819840 is about 1954.4410965798. The cubic root of 3819840 is about 156.3201839369.

The spelling of 3819840 in words is "three million, eight hundred nineteen thousand, eight hundred forty".