3968381100 has 36 divisors (see below), whose sum is σ = 11481850184. Its totient is φ = 1058234880.

The previous prime is 3968381071. The next prime is 3968381101. The reversal of 3968381100 is 11838693.

It is not an unprimeable number, because it can be changed into a prime (3968381101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6613669 + ... + 6614268.

Almost surely, 2^3968381100 is an apocalyptic number.

3968381100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3968381100 is an abundant number, since it is smaller than the sum of its proper divisors (7513469084).

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

3968381100 is a wasteful number, since it uses less digits than its factorization.

3968381100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13227954 (or 13227947 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3968381100 is about 62995.0879037406. The cubic root of 3968381100 is about 1583.2073261371.

The spelling of 3968381100 in words is "three billion, nine hundred sixty-eight million, three hundred eighty-one thousand, one hundred".