3906800 has 30 divisors (see below), whose sum is σ = 9387048. Its totient is φ = 1562560.

The previous prime is 3906797. The next prime is 3906809. The reversal of 3906800 is 86093.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3906800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906809) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4484 + ... + 5283.

Almost surely, 2^3906800 is an apocalyptic number.

It is an amenable number.

3906800 is an abundant number, since it is smaller than the sum of its proper divisors (5480248).

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

3906800 is a wasteful number, since it uses less digits than its factorization.

3906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 3906800 is about 1976.5626729249. The cubic root of 3906800 is about 157.4975224268.

The spelling of 3906800 in words is "three million, nine hundred six thousand, eight hundred".