3968100 has 54 divisors (see below), whose sum is σ = 12440610. Its totient is φ = 1057920.

The previous prime is 3968077. The next prime is 3968113. The reversal of 3968100 is 18693.

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 3968064 = 6^2 + 1992^2 .

It is a super-4 number, since 4×3968100⁴ (a number of 27 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1305 + ... + 3104.

Almost surely, 2^3968100 is an apocalyptic number.

3968100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3968100 is an abundant number, since it is smaller than the sum of its proper divisors (8472510).

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

3968100 is a wasteful number, since it uses less digits than its factorization.

3968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3968100 is about 1992.0090361241. The cubic root of 3968100 is about 158.3169943127.

The spelling of 3968100 in words is "three million, nine hundred sixty-eight thousand, one hundred".