3906500 has 48 divisors (see below), whose sum is σ = 9203376. Its totient is φ = 1440000.

The previous prime is 3906493. The next prime is 3906541. The reversal of 3906500 is 56093.

It can be written as a sum of positive squares in 8 ways, for example, as 1295044 + 2611456 = 1138^2 + 1616^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6200 + ... + 6800.

It is an arithmetic number, because the mean of its divisors is an integer number (191737).

Almost surely, 2^3906500 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 3906500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601688).

3906500 is an abundant number, since it is smaller than the sum of its proper divisors (5296876).

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

3906500 is a wasteful number, since it uses less digits than its factorization.

3906500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 3906500 is about 1976.4867821465. The cubic root of 3906500 is about 157.4934909547.

The spelling of 3906500 in words is "three million, nine hundred six thousand, five hundred".