3544921788768 has 480 divisors, whose sum is σ = 11123225467200. Its totient is φ = 1103664807936.

The previous prime is 3544921788713. The next prime is 3544921788841. The reversal of 3544921788768 is 8678871294453.

It is a happy number.

3544921788768 is a `hidden beast` number, since 3 + 5 + 4 + 492 + 1 + 78 + 8 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3544921788696 and 3544921788705.

It is a congruent number.

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, 4381855948 + ... + 4381856756.

It is an arithmetic number, because the mean of its divisors is an integer number (23173386390).

Almost surely, 2^{3544921788768} 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 3544921788768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561612733600).

3544921788768 is an abundant number, since it is smaller than the sum of its proper divisors (7578303678432).

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

3544921788768 is a wasteful number, since it uses less digits than its factorization.

3544921788768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1467 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 3544921788768 in words is "three trillion, five hundred forty-four billion, nine hundred twenty-one million, seven hundred eighty-eight thousand, seven hundred sixty-eight".