3943948400 has 120 divisors (see below), whose sum is σ = 11121922080. Its totient is φ = 1315630080.

The previous prime is 3943948387. The next prime is 3943948429. The reversal of 3943948400 is 48493493.

It is a congruent number.

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, 84566 + ... + 122634.

It is an arithmetic number, because the mean of its divisors is an integer number (92682684).

Almost surely, 2^3943948400 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 3943948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560961040).

3943948400 is an abundant number, since it is smaller than the sum of its proper divisors (7177973680).

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

3943948400 is a wasteful number, since it uses less digits than its factorization.

3943948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38131 (or 38120 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 3943948400 is about 62800.8630513944. The cubic root of 3943948400 is about 1579.9514485962.

The spelling of 3943948400 in words is "three billion, nine hundred forty-three million, nine hundred forty-eight thousand, four hundred".