3624672 has 48 divisors (see below), whose sum is σ = 10078992. Its totient is φ = 1136640.

The previous prime is 3624671. The next prime is 3624679. The reversal of 3624672 is 2764263.

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

It is a d-powerful number, because it can be written as 3⁶ + 6⁸ + 2⁹ + 4⁹ + 6⁸ + 7 + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3624671) 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, 522 + ... + 2742.

It is an arithmetic number, because the mean of its divisors is an integer number (209979).

Almost surely, 2^3624672 is an apocalyptic number.

3624672 is a gapful number since it is divisible by the number (32) 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 3624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039496).

3624672 is an abundant number, since it is smaller than the sum of its proper divisors (6454320).

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

3624672 is a wasteful number, since it uses less digits than its factorization.

3624672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2243 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 3624672 is about 1903.8571374975. The cubic root of 3624672 is about 153.6112079495.

The spelling of 3624672 in words is "three million, six hundred twenty-four thousand, six hundred seventy-two".