3786624 has 96 divisors (see below), whose sum is σ = 11536200. Its totient is φ = 1188864.

The previous prime is 3786613. The next prime is 3786641. The reversal of 3786624 is 4266873.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁸ + 7 + 8⁷ + 6³ + 6⁸ + 2¹¹ + 4⁵ .

It is a zygodrome in base 2.

It is a congruent number.

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, 21802 + ... + 21974.

Almost surely, 2^3786624 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 3786624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768100).

3786624 is an abundant number, since it is smaller than the sum of its proper divisors (7749576).

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

3786624 is a wasteful number, since it uses less digits than its factorization.

3786624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3786624 is about 1945.9249728600. The cubic root of 3786624 is about 155.8657622338.

Subtracting 3786624 from its reverse (4266873), we obtain a square (480249 = 693²).

The spelling of 3786624 in words is "three million, seven hundred eighty-six thousand, six hundred twenty-four".