3968042624 has 256 divisors, whose sum is σ = 10672300800. Its totient is φ = 1424424960.

The previous prime is 3968042621. The next prime is 3968042627. The reversal of 3968042624 is 4262408693.

It is an interprime number because it is at equal distance from previous prime (3968042621) and next prime (3968042627).

3968042624 is a modest number, since divided by 42624 gives 3968 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3968042621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5742119 + ... + 5742809.

It is an arithmetic number, because the mean of its divisors is an integer number (41688675).

Almost surely, 2^3968042624 is an apocalyptic number.

3968042624 is a gapful number since it is divisible by the number (34) 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 3968042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336150400).

3968042624 is an abundant number, since it is smaller than the sum of its proper divisors (6704258176).

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

3968042624 is a wasteful number, since it uses less digits than its factorization.

3968042624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 3968042624 is about 62992.4013195242. The cubic root of 3968042624 is about 1583.1623125740.

The spelling of 3968042624 in words is "three billion, nine hundred sixty-eight million, forty-two thousand, six hundred twenty-four".