3916963298304 has 1584 divisors, whose sum is σ = 14471451810816. Its totient is φ = 1053455155200.

The previous prime is 3916963298291. The next prime is 3916963298363. The reversal of 3916963298304 is 4038923696193.

3916963298304 is a `hidden beast` number, since 39 + 1 + 6 + 9 + 6 + 3 + 298 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16252959624 + ... + 16252959864.

Almost surely, 2^{3916963298304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3916963298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7235725905408).

3916963298304 is an abundant number, since it is smaller than the sum of its proper divisors (10554488512512).

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

3916963298304 is a wasteful number, since it uses less digits than its factorization.

3916963298304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 3916963298304 in words is "three trillion, nine hundred sixteen billion, nine hundred sixty-three million, two hundred ninety-eight thousand, three hundred four".