3488496293748 has 96 divisors (see below), whose sum is σ = 8845925437440. Its totient is φ = 1065937950720.

The previous prime is 3488496293747. The next prime is 3488496293783. The reversal of 3488496293748 is 8473926948843.

3488496293748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3488496293748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3488496293741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53988436 + ... + 54053012.

It is an arithmetic number, because the mean of its divisors is an integer number (92145056640).

Almost surely, 2^{3488496293748} is an apocalyptic number.

3488496293748 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3488496293748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422962718720).

3488496293748 is an abundant number, since it is smaller than the sum of its proper divisors (5357429143692).

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

3488496293748 is a wasteful number, since it uses less digits than its factorization.

3488496293748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72277 (or 72275 counting only the distinct ones).

The product of its digits is 2006581248, while the sum is 75.

The spelling of 3488496293748 in words is "three trillion, four hundred eighty-eight billion, four hundred ninety-six million, two hundred ninety-three thousand, seven hundred forty-eight".