3961800 has 144 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1008000.

The previous prime is 3961781. The next prime is 3961813. The reversal of 3961800 is 81693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55765 + ... + 55835.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

Almost surely, 2^3961800 is an apocalyptic number.

3961800 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 3961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

3961800 is an abundant number, since it is smaller than the sum of its proper divisors (9965880).

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

3961800 is a wasteful number, since it uses less digits than its factorization.

3961800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3961800 is about 1990.4270898478. The cubic root of 3961800 is about 158.2331653288.

It can be divided in two parts, 3961 and 800, that added together give a square (4761 = 69²).

The spelling of 3961800 in words is "three million, nine hundred sixty-one thousand, eight hundred".