3768006 has 32 divisors (see below), whose sum is σ = 8448768. Its totient is φ = 1110240.

The previous prime is 3767987. The next prime is 3768053. The reversal of 3768006 is 6008673.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671 + ... + 3213.

It is an arithmetic number, because the mean of its divisors is an integer number (264024).

Almost surely, 2^3768006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3768006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224384).

3768006 is an abundant number, since it is smaller than the sum of its proper divisors (4680762).

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

3768006 is a wasteful number, since it uses less digits than its factorization.

3768006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3768006 is about 1941.1352348561. The cubic root of 3768006 is about 155.6098898250.

The spelling of 3768006 in words is "three million, seven hundred sixty-eight thousand, six".