3483763328331 has 192 divisors, whose sum is σ = 6502016102400. Its totient is φ = 1763803641600.

The previous prime is 3483763328327. The next prime is 3483763328351. The reversal of 3483763328331 is 1338233673843.

It is not a de Polignac number, because 3483763328331 - 2² = 3483763328327 is a prime.

It is a super-2 number, since 2×3483763328331² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3483763328351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 483114316 + ... + 483121526.

It is an arithmetic number, because the mean of its divisors is an integer number (33864667200).

Almost surely, 2^{3483763328331} is an apocalyptic number.

3483763328331 is a deficient number, since it is larger than the sum of its proper divisors (3018252774069).

3483763328331 is a wasteful number, since it uses less digits than its factorization.

3483763328331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8142 (or 8139 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 54.

The spelling of 3483763328331 in words is "three trillion, four hundred eighty-three billion, seven hundred sixty-three million, three hundred twenty-eight thousand, three hundred thirty-one".