3943311840 has 288 divisors, whose sum is σ = 15345360576. Its totient is φ = 913489920.

The previous prime is 3943311839. The next prime is 3943311847. The reversal of 3943311840 is 481133493.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3943311795 and 3943311804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3943311847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312045 + ... + 324435.

It is an arithmetic number, because the mean of its divisors is an integer number (53282502).

Almost surely, 2^3943311840 is an apocalyptic number.

3943311840 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 3943311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672680288).

3943311840 is an abundant number, since it is smaller than the sum of its proper divisors (11402048736).

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

3943311840 is a wasteful number, since it uses less digits than its factorization.

3943311840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3943311840 is about 62795.7947636623. The cubic root of 3943311840 is about 1579.8664417363.

The spelling of 3943311840 in words is "three billion, nine hundred forty-three million, three hundred eleven thousand, eight hundred forty".