3966909100 has 144 divisors (see below), whose sum is σ = 10982797056. Its totient is φ = 1207584000.

The previous prime is 3966909097. The next prime is 3966909131. The reversal of 3966909100 is 19096693.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325110 + ... + 337090.

It is an arithmetic number, because the mean of its divisors is an integer number (76269424).

Almost surely, 2^3966909100 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 3966909100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491398528).

3966909100 is an abundant number, since it is smaller than the sum of its proper divisors (7015887956).

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

3966909100 is a wasteful number, since it uses less digits than its factorization.

3966909100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12056 (or 12049 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 43.

The square root of 3966909100 is about 62983.4033694592. The cubic root of 3966909100 is about 1583.0115477803.

The spelling of 3966909100 in words is "three billion, nine hundred sixty-six million, nine hundred nine thousand, one hundred".