3952987584 has 168 divisors, whose sum is σ = 13102821648. Its totient is φ = 1042513920.

The previous prime is 3952987561. The next prime is 3952987603. The reversal of 3952987584 is 4857892593.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3952987584² = 31252221678516314112, which contains 22 as substring.

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, 106144 + ... + 138464.

It is an arithmetic number, because the mean of its divisors is an integer number (77992986).

Almost surely, 2^3952987584 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 3952987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551410824).

3952987584 is an abundant number, since it is smaller than the sum of its proper divisors (9149834064).

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

3952987584 is a wasteful number, since it uses less digits than its factorization.

3952987584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32363 (or 32346 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The square root of 3952987584 is about 62872.7888994913. The cubic root of 3952987584 is about 1581.1575643675.

The spelling of 3952987584 in words is "three billion, nine hundred fifty-two million, nine hundred eighty-seven thousand, five hundred eighty-four".