3759672 has 96 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 1020096.

The previous prime is 3759667. The next prime is 3759677. The reversal of 3759672 is 2769573.

3759672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3759667) and next prime (3759677).

It is a self number, because there is not a number n which added to its sum of digits gives 3759672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3759677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26979 + ... + 27117.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^3759672 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 3759672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

3759672 is an abundant number, since it is smaller than the sum of its proper divisors (7731528).

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

3759672 is a wasteful number, since it uses less digits than its factorization.

3759672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The square root of 3759672 is about 1938.9873645798. The cubic root of 3759672 is about 155.4950801957.

Subtracting from 3759672 its reverse (2769573), we obtain a palindrome (990099).

The spelling of 3759672 in words is "three million, seven hundred fifty-nine thousand, six hundred seventy-two".