3930503016960 has 960 divisors, whose sum is σ = 16102556870400. Its totient is φ = 876706136064.

The previous prime is 3930503016949. The next prime is 3930503017003. The reversal of 3930503016960 is 696103050393.

3930503016960 is a `hidden beast` number, since 39 + 305 + 0 + 301 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130875226 + ... + 130905254.

It is an arithmetic number, because the mean of its divisors is an integer number (16773496740).

Almost surely, 2^{3930503016960} is an apocalyptic number.

3930503016960 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 3930503016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051278435200).

3930503016960 is an abundant number, since it is smaller than the sum of its proper divisors (12172053853440).

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

3930503016960 is a wasteful number, since it uses less digits than its factorization.

3930503016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30113 (or 30094 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 3930503016960 in words is "three trillion, nine hundred thirty billion, five hundred three million, sixteen thousand, nine hundred sixty".