3936012960 has 384 divisors, whose sum is σ = 14143610880. Its totient is φ = 911462400.

The previous prime is 3936012947. The next prime is 3936012967. The reversal of 3936012960 is 692106393.

It is not an unprimeable number, because it can be changed into a prime (3936012967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22751434 + ... + 22751606.

It is an arithmetic number, because the mean of its divisors is an integer number (36832320).

Almost surely, 2^3936012960 is an apocalyptic number.

3936012960 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 3936012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071805440).

3936012960 is an abundant number, since it is smaller than the sum of its proper divisors (10207597920).

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

3936012960 is a wasteful number, since it uses less digits than its factorization.

3936012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 3936012960 is about 62737.6518527750. The cubic root of 3936012960 is about 1578.8910875191.

The spelling of 3936012960 in words is "three billion, nine hundred thirty-six million, twelve thousand, nine hundred sixty".