3953664 has 176 divisors, whose sum is σ = 13755840. Its totient is φ = 1105920.

The previous prime is 3953629. The next prime is 3953669. The reversal of 3953664 is 4663593.

3953664 = T₁₆₀ + T₁₆₁ + ... + T₃₀₂.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3953669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304122 + ... + 304134.

Almost surely, 2^3953664 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 3953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877920).

3953664 is an abundant number, since it is smaller than the sum of its proper divisors (9802176).

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

3953664 is a wasteful number, since it uses less digits than its factorization.

3953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 3953664 is about 1988.3822570120. The cubic root of 3953664 is about 158.1247745887.

The spelling of 3953664 in words is "three million, nine hundred fifty-three thousand, six hundred sixty-four".