3968927424 has 560 divisors, whose sum is σ = 15000158976. Its totient is φ = 1007769600.

The previous prime is 3968927399. The next prime is 3968927429. The reversal of 3968927424 is 4247298693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3968927429) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24349167 + ... + 24349329.

Almost surely, 2^3968927424 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 3968927424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500079488).

3968927424 is an abundant number, since it is smaller than the sum of its proper divisors (11031231552).

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

3968927424 is a wasteful number, since it uses less digits than its factorization.

3968927424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3968927424 is about 62999.4239973668. The cubic root of 3968927424 is about 1583.2799757852.

The spelling of 3968927424 in words is "three billion, nine hundred sixty-eight million, nine hundred twenty-seven thousand, four hundred twenty-four".