3481033876761 has 48 divisors (see below), whose sum is σ = 5789116189440. Its totient is φ = 1848454433280.

The previous prime is 3481033876717. The next prime is 3481033876783. The reversal of 3481033876761 is 1676783301843.

It is not a de Polignac number, because 3481033876761 - 2¹¹ = 3481033874713 is a prime.

It is a super-2 number, since 2×3481033876761² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3481033876711) 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, 8618850 + ... + 9013691.

It is an arithmetic number, because the mean of its divisors is an integer number (120606587280).

Almost surely, 2^{3481033876761} is an apocalyptic number.

It is an amenable number.

3481033876761 is a deficient number, since it is larger than the sum of its proper divisors (2308082312679).

3481033876761 is a wasteful number, since it uses less digits than its factorization.

3481033876761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632654 (or 17632647 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 3481033876761 in words is "three trillion, four hundred eighty-one billion, thirty-three million, eight hundred seventy-six thousand, seven hundred sixty-one".