3675672 has 256 divisors, whose sum is σ = 14515200. Its totient is φ = 829440.

The previous prime is 3675671. The next prime is 3675697. The reversal of 3675672 is 2765763.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (52920) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216208 + ... + 216224.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

Almost surely, 2^3675672 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 3675672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

3675672 is an abundant number, since it is smaller than the sum of its proper divisors (10839528).

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

3675672 is a wasteful number, since it uses less digits than its factorization.

3675672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 3675672 is about 1917.2042144748. The cubic root of 3675672 is about 154.3283039389.

Subtracting from 3675672 its reverse (2765763), we obtain a palindrome (909909).

The spelling of 3675672 in words is "three million, six hundred seventy-five thousand, six hundred seventy-two".