3753984 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1130496.

The previous prime is 3753979. The next prime is 3753989. The reversal of 3753984 is 4893573.

It is an interprime number because it is at equal distance from previous prime (3753979) and next prime (3753989).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3753989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79849 + ... + 79895.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 2^3753984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3753984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3753984 is an abundant number, since it is smaller than the sum of its proper divisors (7253376).

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

3753984 is a wasteful number, since it uses less digits than its factorization.

3753984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 3753984 is about 1937.5200644122. The cubic root of 3753984 is about 155.4166245555.

The spelling of 3753984 in words is "three million, seven hundred fifty-three thousand, nine hundred eighty-four".