3976101864 has 192 divisors, whose sum is σ = 13122950400. Its totient is φ = 1111719168.

The previous prime is 3976101851. The next prime is 3976101887. The reversal of 3976101864 is 4681016793.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493452 + ... + 501444.

It is an arithmetic number, because the mean of its divisors is an integer number (68348700).

Almost surely, 2^3976101864 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 3976101864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561475200).

3976101864 is an abundant number, since it is smaller than the sum of its proper divisors (9146848536).

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

3976101864 is a wasteful number, since it uses less digits than its factorization.

3976101864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8069 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3976101864 is about 63056.3388090365. The cubic root of 3976101864 is about 1584.2334079832.

The spelling of 3976101864 in words is "three billion, nine hundred seventy-six million, one hundred one thousand, eight hundred sixty-four".