3826503533160 has 1920 divisors, whose sum is σ = 16750056407040. Its totient is φ = 777746188800.

The previous prime is 3826503533131. The next prime is 3826503533233. The reversal of 3826503533160 is 613353056283.

3826503533160 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 50 + 3 + 533 + 1 + 60 = 666.

3826503533160 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 30129949017 + ... + 30129949143.

It is an arithmetic number, because the mean of its divisors is an integer number (8723987712).

Almost surely, 2^{3826503533160} is an apocalyptic number.

3826503533160 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 3826503533160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8375028203520).

3826503533160 is an abundant number, since it is smaller than the sum of its proper divisors (12923552873880).

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

3826503533160 is a wasteful number, since it uses less digits than its factorization.

3826503533160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3826503533160 in words is "three trillion, eight hundred twenty-six billion, five hundred three million, five hundred thirty-three thousand, one hundred sixty".