3968144700 has 72 divisors (see below), whose sum is σ = 12364344048. Its totient is φ = 976773120.

The previous prime is 3968144693. The next prime is 3968144723. The reversal of 3968144700 is 74418693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504837 + ... + 512636.

Almost surely, 2^3968144700 is an apocalyptic number.

3968144700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3968144700 is an abundant number, since it is smaller than the sum of its proper divisors (8396199348).

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

3968144700 is a wasteful number, since it uses less digits than its factorization.

3968144700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017503 (or 1017496 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3968144700 is about 62993.2115390222. The cubic root of 3968144700 is about 1583.1758878222.

The spelling of 3968144700 in words is "three billion, nine hundred sixty-eight million, one hundred forty-four thousand, seven hundred".