3949800 has 96 divisors (see below), whose sum is σ = 12722400. Its totient is φ = 1012480.

The previous prime is 3949793. The next prime is 3949819. The reversal of 3949800 is 89493.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17287 + ... + 17513.

It is an arithmetic number, because the mean of its divisors is an integer number (132525).

Almost surely, 2^3949800 is an apocalyptic number.

3949800 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 3949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361200).

3949800 is an abundant number, since it is smaller than the sum of its proper divisors (8772600).

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

3949800 is a wasteful number, since it uses less digits than its factorization.

3949800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3949800 is about 1987.4103753377. The cubic root of 3949800 is about 158.0732448951.

The spelling of 3949800 in words is "three million, nine hundred forty-nine thousand, eight hundred".