3634776 has 48 divisors (see below), whose sum is σ = 10366200. Its totient is φ = 1147392.

The previous prime is 3634727. The next prime is 3634777. The reversal of 3634776 is 6774363.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3634776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3634777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40 + ... + 2696.

Almost surely, 2^3634776 is an apocalyptic number.

3634776 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 3634776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183100).

3634776 is an abundant number, since it is smaller than the sum of its proper divisors (6731424).

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

3634776 is a wasteful number, since it uses less digits than its factorization.

3634776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2681 counting only the distinct ones).

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

The square root of 3634776 is about 1906.5088512776. The cubic root of 3634776 is about 153.7538091462.

The spelling of 3634776 in words is "three million, six hundred thirty-four thousand, seven hundred seventy-six".