3531726240768 has 1760 divisors, whose sum is σ = 12737373327360. Its totient is φ = 963477504000.

The previous prime is 3531726240761. The next prime is 3531726240773. The reversal of 3531726240768 is 8670426271353.

It is a happy number.

3531726240768 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 7 + 2 + 624 + 0 + 7 + 6 + 8 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531726240761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39682317268 + ... + 39682317356.

It is an arithmetic number, because the mean of its divisors is an integer number (7237143936).

Almost surely, 2^{3531726240768} 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 3531726240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368686663680).

3531726240768 is an abundant number, since it is smaller than the sum of its proper divisors (9205647086592).

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

3531726240768 is a wasteful number, since it uses less digits than its factorization.

3531726240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3531726240768 in words is "three trillion, five hundred thirty-one billion, seven hundred twenty-six million, two hundred forty thousand, seven hundred sixty-eight".