3835312135383 has 48 divisors (see below), whose sum is σ = 5455376875136. Its totient is φ = 2396239096320.

The previous prime is 3835312135357. The next prime is 3835312135409.

3835312135383 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3835312135357) and next prime (3835312135409).

It is not a de Polignac number, because 3835312135383 - 2¹³ = 3835312127191 is a prime.

It is a super-2 number, since 2×3835312135383² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835312135483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397725360 + ... + 397735002.

Almost surely, 2^{3835312135383} is an apocalyptic number.

3835312135383 is a deficient number, since it is larger than the sum of its proper divisors (1620064739753).

3835312135383 is a wasteful number, since it uses less digits than its factorization.

3835312135383 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11584 (or 11567 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The spelling of 3835312135383 in words is "three trillion, eight hundred thirty-five billion, three hundred twelve million, one hundred thirty-five thousand, three hundred eighty-three".