3835038805301 has 24 divisors (see below), whose sum is σ = 4222835795640. Its totient is φ = 3480230033280.

The previous prime is 3835038805289. The next prime is 3835038805453. The reversal of 3835038805301 is 1035088305383.

3835038805301 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1050809508100 + 2784229297201 = 1025090^2 + 1668601^2 .

It is not a de Polignac number, because 3835038805301 - 2¹⁰ = 3835038804277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835038805501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529917455 + ... + 529924691.

It is an arithmetic number, because the mean of its divisors is an integer number (175951491485).

Almost surely, 2^{3835038805301} is an apocalyptic number.

It is an amenable number.

3835038805301 is a deficient number, since it is larger than the sum of its proper divisors (387796990339).

3835038805301 is a wasteful number, since it uses less digits than its factorization.

3835038805301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14405 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 3835038805301 in words is "three trillion, eight hundred thirty-five billion, thirty-eight million, eight hundred five thousand, three hundred one".