3964686336 has 156 divisors (see below), whose sum is σ = 12334564788. Its totient is φ = 1219756032.

The previous prime is 3964686289. The next prime is 3964686343. The reversal of 3964686336 is 6336864693.

3964686336 is a `hidden beast` number, since 3 + 96 + 468 + 63 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1751924736 + 2212761600 = 41856^2 + 47040^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475096 + ... + 483368.

It is an arithmetic number, because the mean of its divisors is an integer number (79067723).

Almost surely, 2^3964686336 is an apocalyptic number.

3964686336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3964686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167282394).

3964686336 is an abundant number, since it is smaller than the sum of its proper divisors (8369878452).

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

3964686336 is a wasteful number, since it uses less digits than its factorization.

3964686336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8291 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The square root of 3964686336 is about 62965.7552642704. The cubic root of 3964686336 is about 1582.7158248051.

The spelling of 3964686336 in words is "three billion, nine hundred sixty-four million, six hundred eighty-six thousand, three hundred thirty-six".