3954216960 has 208 divisors, whose sum is σ = 14059687680. Its totient is φ = 1054310400.

The previous prime is 3954216913. The next prime is 3954216991. The reversal of 3954216960 is 696124593.

3954216960 is a `hidden beast` number, since 3 + 9 + 542 + 16 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 15 ways as a sum of consecutive naturals, for example, 549385 + ... + 556535.

Almost surely, 2^3954216960 is an apocalyptic number.

3954216960 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 3954216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029843840).

3954216960 is an abundant number, since it is smaller than the sum of its proper divisors (10105470720).

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

3954216960 is an equidigital number, since it uses as much as digits as its factorization.

3954216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3954216960 is about 62882.5648331873. The cubic root of 3954216960 is about 1581.3214602939.

The spelling of 3954216960 in words is "three billion, nine hundred fifty-four million, two hundred sixteen thousand, nine hundred sixty".