3961152000 has 720 divisors, whose sum is σ = 16061893848. Its totient is φ = 932659200.

The previous prime is 3961151993. The next prime is 3961152029. The reversal of 3961152000 is 2511693.

It can be written as a sum of positive squares in 4 ways, for example, as 537497856 + 3423654144 = 23184^2 + 58512^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172223989 + ... + 172224011.

Almost surely, 2^3961152000 is an apocalyptic number.

3961152000 is a gapful number since it is divisible by the number (30) 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 3961152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030946924).

3961152000 is an abundant number, since it is smaller than the sum of its proper divisors (12100741848).

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

3961152000 is a wasteful number, since it uses less digits than its factorization.

3961152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 3961152000 is about 62937.6834654724. The cubic root of 3961152000 is about 1582.2453787986.

Adding to 3961152000 its reverse (2511693), we get a palindrome (3963663693).

It can be divided in two parts, 3961 and 152000, that added together give a triangular number (155961 = T₅₅₈).

The spelling of 3961152000 in words is "three billion, nine hundred sixty-one million, one hundred fifty-two thousand".