3906000 has 240 divisors, whose sum is σ = 16094208. Its totient is φ = 864000.

The previous prime is 3905999. The next prime is 3906017. The reversal of 3906000 is 6093.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125985 + ... + 126015.

Almost surely, 2^3906000 is an apocalyptic number.

3906000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047104).

3906000 is an abundant number, since it is smaller than the sum of its proper divisors (12188208).

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

3906000 is a wasteful number, since it uses less digits than its factorization.

3906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3906000 is about 1976.3602910401. The cubic root of 3906000 is about 157.4867713757.

The spelling of 3906000 in words is "three million, nine hundred six thousand".