3481033862241 has 192 divisors, whose sum is σ = 6063520512000. Its totient is φ = 1959759152640.

The previous prime is 3481033862239. The next prime is 3481033862263. The reversal of 3481033862241 is 1422683301843.

3481033862241 is a `hidden beast` number, since 3 + 4 + 8 + 10 + 3 + 3 + 8 + 622 + 4 + 1 = 666.

It is not a de Polignac number, because 3481033862241 - 2¹ = 3481033862239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3481033862221) 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, 3256345455 + ... + 3256346523.

It is an arithmetic number, because the mean of its divisors is an integer number (31580836000).

Almost surely, 2^{3481033862241} is an apocalyptic number.

3481033862241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3481033862241 is a deficient number, since it is larger than the sum of its proper divisors (2582486649759).

3481033862241 is a wasteful number, since it uses less digits than its factorization.

3481033862241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3481033862241 in words is "three trillion, four hundred eighty-one billion, thirty-three million, eight hundred sixty-two thousand, two hundred forty-one".