3991576512 has 224 divisors, whose sum is σ = 13293181440. Its totient is φ = 1026846720.

The previous prime is 3991576507. The next prime is 3991576513. The reversal of 3991576512 is 2156751993.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×3991576512³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3991576513) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1610218 + ... + 1612694.

It is an arithmetic number, because the mean of its divisors is an integer number (59344560).

Almost surely, 2^3991576512 is an apocalyptic number.

3991576512 is a gapful number since it is divisible by the number (32) 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 3991576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646590720).

3991576512 is an abundant number, since it is smaller than the sum of its proper divisors (9301604928).

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

3991576512 is a wasteful number, since it uses less digits than its factorization.

3991576512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2609 counting only the distinct ones).

The product of its digits is 510300, while the sum is 48.

The square root of 3991576512 is about 63178.9245872387. The cubic root of 3991576512 is about 1586.2859810599.

It can be divided in two parts, 3991 and 576512, that added together give a triangular number (580503 = T₁₀₇₇).

The spelling of 3991576512 in words is "three billion, nine hundred ninety-one million, five hundred seventy-six thousand, five hundred twelve".