3481011238617 has 64 divisors (see below), whose sum is σ = 5764894571520. Its totient is φ = 2057604278400.

The previous prime is 3481011238597. The next prime is 3481011238651. The reversal of 3481011238617 is 7168321101843.

3481011238617 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 0 + 1 + 1 + 23 + 8 + 617 = 666.

It is not a de Polignac number, because 3481011238617 - 2⁷ = 3481011238489 is a prime.

It is a super-3 number, since 3×3481011238617³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3481011230617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40421158 + ... + 40507184.

It is an arithmetic number, because the mean of its divisors is an integer number (90076477680).

Almost surely, 2^{3481011238617} is an apocalyptic number.

It is an amenable number.

3481011238617 is a deficient number, since it is larger than the sum of its proper divisors (2283883332903).

3481011238617 is a wasteful number, since it uses less digits than its factorization.

3481011238617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89411 (or 89405 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

It can be divided in two parts, 3481011 and 238617, that added together give a triangular number (3719628 = T₂₇₂₇).

The spelling of 3481011238617 in words is "three trillion, four hundred eighty-one billion, eleven million, two hundred thirty-eight thousand, six hundred seventeen".