3647952 has 180 divisors, whose sum is σ = 13231296. Its totient is φ = 927360.

The previous prime is 3647947. The next prime is 3647953. The reversal of 3647952 is 2597463.

3647952 is a `hidden beast` number, since 3 + 647 + 9 + 5 + 2 = 666.

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

It is a d-powerful number, because it can be written as 3⁷ + 6⁸ + 4⁶ + 7 + 9³ + 5⁹ + 2¹³ .

Its product of digits (45360) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3647953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77593 + ... + 77639.

Almost surely, 2^3647952 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 3647952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615648).

3647952 is an abundant number, since it is smaller than the sum of its proper divisors (9583344).

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

3647952 is a wasteful number, since it uses less digits than its factorization.

3647952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3647952 is about 1909.9612561515. The cubic root of 3647952 is about 153.9393700725.

The spelling of 3647952 in words is "three million, six hundred forty-seven thousand, nine hundred fifty-two".