3911825664 has 324 divisors, whose sum is σ = 12491417484. Its totient is φ = 1218281472.

The previous prime is 3911825663. The next prime is 3911825677. The reversal of 3911825664 is 4665281193.

3911825664 is a `hidden beast` number, since 3 + 9 + 1 + 1 + 82 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2687385600 + 1224440064 = 51840^2 + 34992^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3911825663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28553404 + ... + 28553540.

Almost surely, 2^3911825664 is an apocalyptic number.

3911825664 is a gapful number since it is divisible by the number (34) 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 3911825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245708742).

3911825664 is an abundant number, since it is smaller than the sum of its proper divisors (8579591820).

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

3911825664 is an frugal number, since it uses more digits than its factorization.

3911825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3911825664 is about 62544.5894062788. The cubic root of 3911825664 is about 1575.6502784180.

The spelling of 3911825664 in words is "three billion, nine hundred eleven million, eight hundred twenty-five thousand, six hundred sixty-four".