3992771664 has 480 divisors, whose sum is σ = 14249088000. Its totient is φ = 1064980224.

The previous prime is 3992771633. The next prime is 3992771677. The reversal of 3992771664 is 4661772993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (3429216) is a multiple of the sum of its prime factors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 3992771664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28724907 + ... + 28725045.

It is an arithmetic number, because the mean of its divisors is an integer number (29685600).

Almost surely, 2^3992771664 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 3992771664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544000).

3992771664 is an abundant number, since it is smaller than the sum of its proper divisors (10256316336).

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

3992771664 is a wasteful number, since it uses less digits than its factorization.

3992771664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 3992771664 is about 63188.3823499225. The cubic root of 3992771664 is about 1586.4442864038. Note that the first 3 decimals are identical.

The spelling of 3992771664 in words is "three billion, nine hundred ninety-two million, seven hundred seventy-one thousand, six hundred sixty-four".