3679424 has 56 divisors (see below), whose sum is σ = 8583168. Its totient is φ = 1532160.

The previous prime is 3679387. The next prime is 3679427. The reversal of 3679424 is 4249763.

3679424 = T₃₉₂ + T₃₉₃ + ... + T₄₃₄.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3679427) 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 7 ways as a sum of consecutive naturals, for example, 19169 + ... + 19359.

Almost surely, 2^3679424 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 3679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291584).

3679424 is an abundant number, since it is smaller than the sum of its proper divisors (4903744).

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

3679424 is a wasteful number, since it uses less digits than its factorization.

3679424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 3679424 is about 1918.1824730718. The cubic root of 3679424 is about 154.3807970964.

The spelling of 3679424 in words is "three million, six hundred seventy-nine thousand, four hundred twenty-four".