3493180107648 has 1152 divisors, whose sum is σ = 13258040947200. Its totient is φ = 902119680000.

The previous prime is 3493180107629. The next prime is 3493180107653. The reversal of 3493180107648 is 8467010813943.

3493180107648 is a `hidden beast` number, since 3 + 493 + 1 + 8 + 0 + 107 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×3493180107648³ (a number of 39 digits) contains 333 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 = 3493180107594 and 3493180107603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4651371273 + ... + 4651372023.

It is an arithmetic number, because the mean of its divisors is an integer number (11508716100).

Almost surely, 2^{3493180107648} 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 3493180107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629020473600).

3493180107648 is an abundant number, since it is smaller than the sum of its proper divisors (9764860839552).

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

3493180107648 is a wasteful number, since it uses less digits than its factorization.

3493180107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3493180107648 in words is "three trillion, four hundred ninety-three billion, one hundred eighty million, one hundred seven thousand, six hundred forty-eight".