3835845680634 has 320 divisors, whose sum is σ = 10063000645632. Its totient is φ = 1080242697600.

The previous prime is 3835845680591. The next prime is 3835845680701. The reversal of 3835845680634 is 4360865485383.

3835845680634 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 8 + 4 + 568 + 0 + 63 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1436107119 + ... + 1436109789.

Almost surely, 2^{3835845680634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835845680634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031500322816).

3835845680634 is an abundant number, since it is smaller than the sum of its proper divisors (6227154964998).

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

3835845680634 is a wasteful number, since it uses less digits than its factorization.

3835845680634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 3835845680634 in words is "three trillion, eight hundred thirty-five billion, eight hundred forty-five million, six hundred eighty thousand, six hundred thirty-four".