3813984 has 144 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1105920.

The previous prime is 3813983. The next prime is 3814009. The reversal of 3813984 is 4893183.

3813984 = 6³ + 7³ + ... + 62³.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93004 + ... + 93044.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

Almost surely, 2^3813984 is an apocalyptic number.

3813984 is a gapful number since it is divisible by the number (34) 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 3813984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

3813984 is an abundant number, since it is smaller than the sum of its proper divisors (8569296).

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

3813984 is a wasteful number, since it uses less digits than its factorization.

3813984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 3813984 is about 1952.9423954638. The cubic root of 3813984 is about 156.2402609396.

The spelling of 3813984 in words is "three million, eight hundred thirteen thousand, nine hundred eighty-four".