3627936 has 192 divisors, whose sum is σ = 12700800. Its totient is φ = 995328.

The previous prime is 3627931. The next prime is 3627937. The reversal of 3627936 is 6397263.

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

Its product of digits (40824) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3627936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3627931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190935 + ... + 190953.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

Almost surely, 2^3627936 is an apocalyptic number.

3627936 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 3627936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

3627936 is an abundant number, since it is smaller than the sum of its proper divisors (9072864).

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

3627936 is a wasteful number, since it uses less digits than its factorization.

3627936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 54 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3627936 is about 1904.7141517824. The cubic root of 3627936 is about 153.6573028384.

It can be divided in two parts, 36279 and 36, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 3627936 in words is "three million, six hundred twenty-seven thousand, nine hundred thirty-six".