3916505349120 has 1408 divisors, whose sum is σ = 16421171558400. Its totient is φ = 773584846848.

The previous prime is 3916505349079. The next prime is 3916505349137. The reversal of 3916505349120 is 219435056193.

3916505349120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3916505349120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2363611332 + ... + 2363612988.

Almost surely, 2^{3916505349120} is an apocalyptic number.

3916505349120 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 3916505349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210585779200).

3916505349120 is an abundant number, since it is smaller than the sum of its proper divisors (12504666209280).

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

3916505349120 is a wasteful number, since it uses less digits than its factorization.

3916505349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 3916505349120 in words is "three trillion, nine hundred sixteen billion, five hundred five million, three hundred forty-nine thousand, one hundred twenty".