3679120 has 20 divisors (see below), whose sum is σ = 8554140. Its totient is φ = 1471616.

The previous prime is 3679087. The next prime is 3679121. The reversal of 3679120 is 219763.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 3211264 = 684^2 + 1792^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3679121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22915 + ... + 23074.

It is an arithmetic number, because the mean of its divisors is an integer number (427707).

Almost surely, 2^3679120 is an apocalyptic number.

It is an amenable number.

3679120 is an abundant number, since it is smaller than the sum of its proper divisors (4875020).

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

3679120 is a wasteful number, since it uses less digits than its factorization.

3679120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46002 (or 45996 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 3679120 is about 1918.1032297559. The cubic root of 3679120 is about 154.3765452483.

The spelling of 3679120 in words is "three million, six hundred seventy-nine thousand, one hundred twenty".