3714984 has 168 divisors, whose sum is σ = 13083210. Its totient is φ = 979776.

The previous prime is 3714979. The next prime is 3714989. The reversal of 3714984 is 4894173.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3714979) and next prime (3714989).

It can be written as a sum of positive squares in only one way, i.e., 3572100 + 142884 = 1890^2 + 378^2 .

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3714984² = 27602212240512, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (3714989) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 285762 + ... + 285774.

Almost surely, 2^3714984 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 3714984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541605).

3714984 is an abundant number, since it is smaller than the sum of its proper divisors (9368226).

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

3714984 is a wasteful number, since it uses less digits than its factorization.

3714984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 25 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3714984 is about 1927.4293761381. The cubic root of 3714984 is about 154.8765440811.

The spelling of 3714984 in words is "three million, seven hundred fourteen thousand, nine hundred eighty-four".