3913002253160 has 768 divisors, whose sum is σ = 12210549120000. Its totient is φ = 1109263196160.

The previous prime is 3913002253109. The next prime is 3913002253169. The reversal of 3913002253160 is 613522003193.

It is a Cunningham number, because it is equal to 1978131²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3913002253160.

It is not an unprimeable number, because it can be changed into a prime (3913002253169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10662131297 + ... + 10662131663.

It is an arithmetic number, because the mean of its divisors is an integer number (15899152500).

Almost surely, 2^{3913002253160} 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 3913002253160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105274560000).

3913002253160 is an abundant number, since it is smaller than the sum of its proper divisors (8297546866840).

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

3913002253160 is a wasteful number, since it uses less digits than its factorization.

3913002253160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The spelling of 3913002253160 in words is "three trillion, nine hundred thirteen billion, two million, two hundred fifty-three thousand, one hundred sixty".