3835664 has 40 divisors (see below), whose sum is σ = 8868480. Its totient is φ = 1571328.

The previous prime is 3835651. The next prime is 3835669. The reversal of 3835664 is 4665383.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3835669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1832 + ... + 3320.

It is an arithmetic number, because the mean of its divisors is an integer number (221712).

Almost surely, 2^3835664 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 3835664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434240).

3835664 is an abundant number, since it is smaller than the sum of its proper divisors (5032816).

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

3835664 is a wasteful number, since it uses less digits than its factorization.

3835664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 3835664 is about 1958.4851288687. The cubic root of 3835664 is about 156.5357429410.

The spelling of 3835664 in words is "three million, eight hundred thirty-five thousand, six hundred sixty-four".