3643776 has 48 divisors (see below), whose sum is σ = 10488660. Its totient is φ = 1214208.

The previous prime is 3643751. The next prime is 3643799. The reversal of 3643776 is 6773463.

3643776 is a `hidden beast` number, since 3 + 643 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3643776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430 + ... + 2733.

Almost surely, 2^3643776 is an apocalyptic number.

3643776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244330).

3643776 is an abundant number, since it is smaller than the sum of its proper divisors (6844884).

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

3643776 is a wasteful number, since it uses less digits than its factorization.

3643776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3168 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 3643776 is about 1908.8677272142. The cubic root of 3643776 is about 153.8806068480.

The spelling of 3643776 in words is "three million, six hundred forty-three thousand, seven hundred seventy-six".