3935664 has 60 divisors (see below), whose sum is σ = 11148592. Its totient is φ = 1296000.

The previous prime is 3935651. The next prime is 3935683. The reversal of 3935664 is 4665393.

3935664 is a `hidden beast` number, since 3 + 93 + 566 + 4 = 666.

It is a super-2 number, since 2×3935664² = 30978902241792, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21654 + ... + 21834.

Almost surely, 2^3935664 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 3935664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574296).

3935664 is an abundant number, since it is smaller than the sum of its proper divisors (7212928).

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

3935664 is a wasteful number, since it uses less digits than its factorization.

3935664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 337 counting only the distinct ones).

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

The square root of 3935664 is about 1983.8508008416. The cubic root of 3935664 is about 157.8844425569.

The spelling of 3935664 in words is "three million, nine hundred thirty-five thousand, six hundred sixty-four".