3526523433216 has 1053 divisors, whose sum is σ = 12840056371191. Its totient is φ = 963770379264.

The previous prime is 3526523433197. The next prime is 3526523433229. The reversal of 3526523433216 is 6123343256253.

The square root of 3526523433216 is 1877904.

It is a perfect power (a square), and thus also a powerful number.

3526523433216 is a `hidden beast` number, since 3 + 5 + 265 + 2 + 343 + 32 + 16 = 666.

It is a super-2 number, since 2×3526523433216² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 153327105781 + ... + 153327105803.

Almost surely, 2^{3526523433216} is an apocalyptic number.

3526523433216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3526523433216 is the 1877904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3526523433216

3526523433216 is an abundant number, since it is smaller than the sum of its proper divisors (9313532937975).

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

3526523433216 is an frugal number, since it uses more digits than its factorization.

3526523433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 35 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

Adding to 3526523433216 its reverse (6123343256253), we get a palindrome (9649866689469).

The spelling of 3526523433216 in words is "three trillion, five hundred twenty-six billion, five hundred twenty-three million, four hundred thirty-three thousand, two hundred sixteen".