3535286985216 has 1440 divisors, whose sum is σ = 13529794037760. Its totient is φ = 914624815104.

The previous prime is 3535286985211. The next prime is 3535286985271. The reversal of 3535286985216 is 6125896825353.

It is a happy number.

3535286985216 is a `hidden beast` number, since 3 + 5 + 3 + 528 + 6 + 9 + 85 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3535286985211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2664119145 + ... + 2664120471.

It is an arithmetic number, because the mean of its divisors is an integer number (9395690304).

Almost surely, 2^{3535286985216} is an apocalyptic number.

3535286985216 is a gapful number since it is divisible by the number (36) 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 3535286985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764897018880).

3535286985216 is an abundant number, since it is smaller than the sum of its proper divisors (9994507052544).

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

3535286985216 is a wasteful number, since it uses less digits than its factorization.

3535286985216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1381 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 3535286985216 in words is "three trillion, five hundred thirty-five billion, two hundred eighty-six million, nine hundred eighty-five thousand, two hundred sixteen".