3617138730348 has 240 divisors, whose sum is σ = 11120398248960. Its totient is φ = 1010753251200.

The previous prime is 3617138730311. The next prime is 3617138730367. The reversal of 3617138730348 is 8430378317163.

3617138730348 is a `hidden beast` number, since 3 + 617 + 13 + 8 + 7 + 3 + 0 + 3 + 4 + 8 = 666.

It is a super-2 number, since 2×3617138730348² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3617138730294 and 3617138730303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45875623 + ... + 45954401.

It is an arithmetic number, because the mean of its divisors is an integer number (46334992704).

Almost surely, 2^{3617138730348} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3617138730348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560199124480).

3617138730348 is an abundant number, since it is smaller than the sum of its proper divisors (7503259518612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3617138730348 is a wasteful number, since it uses less digits than its factorization.

3617138730348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79810 (or 79799 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3617138730348 in words is "three trillion, six hundred seventeen billion, one hundred thirty-eight million, seven hundred thirty thousand, three hundred forty-eight".