3679616 has 64 divisors (see below), whose sum is σ = 8262000. Its totient is φ = 1622016.

The previous prime is 3679603. The next prime is 3679649. The reversal of 3679616 is 6169763.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3679616.

It is a congruent number.

It is an unprimeable number.

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, 41300 + ... + 41388.

Almost surely, 2^3679616 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 3679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131000).

3679616 is an abundant number, since it is smaller than the sum of its proper divisors (4582384).

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

3679616 is a wasteful number, since it uses less digits than its factorization.

3679616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its digits is 40824, while the sum is 38.

The square root of 3679616 is about 1918.2325197952. The cubic root of 3679616 is about 154.3834823534.

The spelling of 3679616 in words is "three million, six hundred seventy-nine thousand, six hundred sixteen".