3835845488826 has 224 divisors, whose sum is σ = 9549829219728. Its totient is φ = 1147345689600.

The previous prime is 3835845488771. The next prime is 3835845488851. The reversal of 3835845488826 is 6288845485383.

3835845488826 is a `hidden beast` number, since 3 + 8 + 3 + 58 + 4 + 548 + 8 + 8 + 26 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1977817509801 + 1858027979025 = 1406349^2 + 1363095^2 .

It is a super-2 number, since 2×3835845488826² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1263036180 + ... + 1263039216.

Almost surely, 2^{3835845488826} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835845488826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774914609864).

3835845488826 is an abundant number, since it is smaller than the sum of its proper divisors (5713983730902).

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

3835845488826 is a wasteful number, since it uses less digits than its factorization.

3835845488826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4893 counting only the distinct ones).

The product of its digits is 1415577600, while the sum is 72.

The spelling of 3835845488826 in words is "three trillion, eight hundred thirty-five billion, eight hundred forty-five million, four hundred eighty-eight thousand, eight hundred twenty-six".