3952584 has 64 divisors (see below), whose sum is σ = 11376000. Its totient is φ = 1270080.

The previous prime is 3952583. The next prime is 3952601. The reversal of 3952584 is 4852593.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (43200) is a multiple of the sum of its prime factors (675).

It is not an unprimeable number, because it can be changed into a prime (3952583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5949 + ... + 6579.

It is an arithmetic number, because the mean of its divisors is an integer number (177750).

Almost surely, 2^3952584 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 3952584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688000).

3952584 is an abundant number, since it is smaller than the sum of its proper divisors (7423416).

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

3952584 is a wasteful number, since it uses less digits than its factorization.

3952584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 3952584 is about 1988.1106609040. The cubic root of 3952584 is about 158.1103752611.

Subtracting 3952584 from its reverse (4852593), we obtain a palindrome (900009).

The spelling of 3952584 in words is "three million, nine hundred fifty-two thousand, five hundred eighty-four".