3968230440 has 128 divisors (see below), whose sum is σ = 12793541760. Its totient is φ = 981049344.

The previous prime is 3968230429. The next prime is 3968230459. The reversal of 3968230440 is 440328693.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122164 + ... + 151196.

It is an arithmetic number, because the mean of its divisors is an integer number (99949545).

Almost surely, 2^3968230440 is an apocalyptic number.

3968230440 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 3968230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396770880).

3968230440 is an abundant number, since it is smaller than the sum of its proper divisors (8825311320).

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

3968230440 is a wasteful number, since it uses less digits than its factorization.

3968230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29131 (or 29127 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3968230440 is about 62993.8920848680. The cubic root of 3968230440 is about 1583.1872903402.

The spelling of 3968230440 in words is "three billion, nine hundred sixty-eight million, two hundred thirty thousand, four hundred forty".