3763843628160 has 1024 divisors, whose sum is σ = 15251812392960. Its totient is φ = 766800691200.

The previous prime is 3763843628101. The next prime is 3763843628183. The reversal of 3763843628160 is 618263483673.

It is a self number, because there is not a number n which added to its sum of digits gives 3763843628160.

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, 4391882452 + ... + 4391883308.

It is an arithmetic number, because the mean of its divisors is an integer number (14894348040).

Almost surely, 2^{3763843628160} is an apocalyptic number.

3763843628160 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 3763843628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625906196480).

3763843628160 is an abundant number, since it is smaller than the sum of its proper divisors (11487968764800).

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

3763843628160 is a wasteful number, since it uses less digits than its factorization.

3763843628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 57.

The spelling of 3763843628160 in words is "three trillion, seven hundred sixty-three billion, eight hundred forty-three million, six hundred twenty-eight thousand, one hundred sixty".