3679000 has 64 divisors (see below), whose sum is σ = 9303840. Its totient is φ = 1353600.

The previous prime is 3678979. The next prime is 3679003. The reversal of 3679000 is 9763.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3679003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12859 + ... + 13141.

Almost surely, 2^3679000 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 3679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651920).

3679000 is an abundant number, since it is smaller than the sum of its proper divisors (5624840).

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

3679000 is a wasteful number, since it uses less digits than its factorization.

3679000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 3679000 is about 1918.0719485984. The cubic root of 3679000 is about 154.3748668228.

The spelling of 3679000 in words is "three million, six hundred seventy-nine thousand".