3968893440 has 240 divisors, whose sum is σ = 14555383128. Its totient is φ = 996016128.

The previous prime is 3968893429. The next prime is 3968893441. The reversal of 3968893440 is 443988693.

It is a happy number.

3968893440 is a `hidden beast` number, since 39 + 6 + 88 + 93 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3875809536 + 93083904 = 62256^2 + 9648^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (3968893441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386614 + ... + 396746.

Almost surely, 2^3968893440 is an apocalyptic number.

3968893440 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 3968893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277691564).

3968893440 is an abundant number, since it is smaller than the sum of its proper divisors (10586489688).

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

3968893440 is a wasteful number, since it uses less digits than its factorization.

3968893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3968893440 is about 62999.1542800378. The cubic root of 3968893440 is about 1583.2754568195.

The spelling of 3968893440 in words is "three billion, nine hundred sixty-eight million, eight hundred ninety-three thousand, four hundred forty".