3964438448208 has 480 divisors, whose sum is σ = 13094016429312. Its totient is φ = 1096187904000.

The previous prime is 3964438448143. The next prime is 3964438448227. The reversal of 3964438448208 is 8028448344693.

3964438448208 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 4 + 384 + 48 + 208 = 666.

It is a super-2 number, since 2×3964438448208² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4793758291 + ... + 4793759117.

Almost surely, 2^{3964438448208} 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 3964438448208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547008214656).

3964438448208 is an abundant number, since it is smaller than the sum of its proper divisors (9129577981104).

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

3964438448208 is a wasteful number, since it uses less digits than its factorization.

3964438448208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 3964438448208 in words is "three trillion, nine hundred sixty-four billion, four hundred thirty-eight million, four hundred forty-eight thousand, two hundred eight".