3991035744 has 144 divisors (see below), whose sum is σ = 11557728000. Its totient is φ = 1306153728.

The previous prime is 3991035679. The next prime is 3991035751. The reversal of 3991035744 is 4475301993.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×3991035744³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3991035744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4756477 + ... + 4757315.

It is an arithmetic number, because the mean of its divisors is an integer number (80262000).

Almost surely, 2^3991035744 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 3991035744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864000).

3991035744 is an abundant number, since it is smaller than the sum of its proper divisors (7566692256).

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

3991035744 is a wasteful number, since it uses less digits than its factorization.

3991035744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3991035744 is about 63174.6447872879. The cubic root of 3991035744 is about 1586.2143425786.

The spelling of 3991035744 in words is "three billion, nine hundred ninety-one million, thirty-five thousand, seven hundred forty-four".