3941983800 has 384 divisors, whose sum is σ = 15009753600. Its totient is φ = 945838080.

The previous prime is 3941983781. The next prime is 3941983807. The reversal of 3941983800 is 83891493.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3941983807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2110467 + ... + 2112333.

It is an arithmetic number, because the mean of its divisors is an integer number (39087900).

Almost surely, 2^3941983800 is an apocalyptic number.

3941983800 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 3941983800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504876800).

3941983800 is an abundant number, since it is smaller than the sum of its proper divisors (11067769800).

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

3941983800 is a wasteful number, since it uses less digits than its factorization.

3941983800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3941983800 is about 62785.2195982462. The cubic root of 3941983800 is about 1579.6890644879.

The spelling of 3941983800 in words is "three billion, nine hundred forty-one million, nine hundred eighty-three thousand, eight hundred".