3679872 has 96 divisors (see below), whose sum is σ = 11481120. Its totient is φ = 1022976.

The previous prime is 3679867. The next prime is 3679877. The reversal of 3679872 is 2789763.

It is an interprime number because it is at equal distance from previous prime (3679867) and next prime (3679877).

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 (42).

Its product of digits (127008) is a multiple of the sum of its prime divisors (49).

It is not an unprimeable number, because it can be changed into a prime (3679877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99438 + ... + 99474.

It is an arithmetic number, because the mean of its divisors is an integer number (119595).

Almost surely, 2^3679872 is an apocalyptic number.

3679872 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 3679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740560).

3679872 is an abundant number, since it is smaller than the sum of its proper divisors (7801248).

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

3679872 is an equidigital number, since it uses as much as digits as its factorization.

3679872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 3679872 is about 1918.2992467287. The cubic root of 3679872 is about 154.3870625508.

Multiplying 3679872 by its sum of digits (42), we get a square (154554624 = 12432²).

3679872 divided by its sum of digits (42) gives a square (87616 = 296²).

The spelling of 3679872 in words is "three million, six hundred seventy-nine thousand, eight hundred seventy-two".