3842766 has 36 divisors (see below), whose sum is σ = 8601216. Its totient is φ = 1239840.

The previous prime is 3842759. The next prime is 3842777. The reversal of 3842766 is 6672483.

3842766 is a `hidden beast` number, since 384 + 276 + 6 = 666.

It is a super-3 number, since 3×3842766³ (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 3 + 8⁵ + 4⁷ + 2²¹ + 7⁵ + 6² + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3842766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30195 + ... + 30321.

Almost surely, 2^3842766 is an apocalyptic number.

3842766 is an abundant number, since it is smaller than the sum of its proper divisors (4758450).

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

3842766 is a wasteful number, since it uses less digits than its factorization.

3842766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 173 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3842766 is about 1960.2974264126. The cubic root of 3842766 is about 156.6322956640.

The spelling of 3842766 in words is "three million, eight hundred forty-two thousand, seven hundred sixty-six".