3963591552 has 128 divisors (see below), whose sum is σ = 11162880000. Its totient is φ = 1243883520.

The previous prime is 3963591523. The next prime is 3963591553. The reversal of 3963591552 is 2551953693.

It is a tau number, because it is divible by the number of its divisors (128).

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 (3963591553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435949 + ... + 444947.

It is an arithmetic number, because the mean of its divisors is an integer number (87210000).

Almost surely, 2^3963591552 is an apocalyptic number.

3963591552 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 3963591552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581440000).

3963591552 is an abundant number, since it is smaller than the sum of its proper divisors (7199288448).

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

3963591552 is a wasteful number, since it uses less digits than its factorization.

3963591552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9084 (or 9072 counting only the distinct ones).

The product of its digits is 1093500, while the sum is 48.

The square root of 3963591552 is about 62957.0611766464. The cubic root of 3963591552 is about 1582.5701309361.

The spelling of 3963591552 in words is "three billion, nine hundred sixty-three million, five hundred ninety-one thousand, five hundred fifty-two".