3940468896 has 384 divisors, whose sum is σ = 13645739520. Its totient is φ = 971882496.

The previous prime is 3940468891. The next prime is 3940468933. The reversal of 3940468896 is 6988640493.

3940468896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940468891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25098450 + ... + 25098606.

It is an arithmetic number, because the mean of its divisors is an integer number (35535780).

Almost surely, 2^3940468896 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 3940468896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822869760).

3940468896 is an abundant number, since it is smaller than the sum of its proper divisors (9705270624).

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

3940468896 is a wasteful number, since it uses less digits than its factorization.

3940468896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The square root of 3940468896 is about 62773.1542619932. The cubic root of 3940468896 is about 1579.4866804411.

The spelling of 3940468896 in words is "three billion, nine hundred forty million, four hundred sixty-eight thousand, eight hundred ninety-six".