3535272752544 has 960 divisors, whose sum is σ = 12129732236160. Its totient is φ = 1000782397440.

The previous prime is 3535272752537. The next prime is 3535272752549. The reversal of 3535272752544 is 4452572725353.

3535272752544 is a `hidden beast` number, since 3 + 5 + 3 + 5 + 2 + 72 + 7 + 525 + 44 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3535272752549) 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, 7735826364 + ... + 7735826820.

It is an arithmetic number, because the mean of its divisors is an integer number (12635137746).

Almost surely, 2^{3535272752544} 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 3535272752544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064866118080).

3535272752544 is an abundant number, since it is smaller than the sum of its proper divisors (8594459483616).

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

3535272752544 is a wasteful number, since it uses less digits than its factorization.

3535272752544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 818 counting only the distinct ones).

The product of its digits is 35280000, while the sum is 54.

The spelling of 3535272752544 in words is "three trillion, five hundred thirty-five billion, two hundred seventy-two million, seven hundred fifty-two thousand, five hundred forty-four".