3532881123216 has 225 divisors, whose sum is σ = 10341442148961. Its totient is φ = 1164387166848.

The previous prime is 3532881123209. The next prime is 3532881123223. The reversal of 3532881123216 is 6123211882353.

The square root of 3532881123216 is 1879596.

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

3532881123216 is a `hidden beast` number, since 3 + 5 + 328 + 81 + 1 + 232 + 16 = 666.

3532881123216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3532881123209) and next prime (3532881123223).

It can be written as a sum of positive squares in only one way, i.e., 2462401193616 + 1070479929600 = 1569204^2 + 1034640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7375534465 + ... + 7375534943.

Almost surely, 2^{3532881123216} is an apocalyptic number.

3532881123216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3532881123216 is the 1879596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3532881123216

3532881123216 is an abundant number, since it is smaller than the sum of its proper divisors (6808561025745).

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

3532881123216 is an frugal number, since it uses more digits than its factorization.

3532881123216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 593 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 3532881123216 in words is "three trillion, five hundred thirty-two billion, eight hundred eighty-one million, one hundred twenty-three thousand, two hundred sixteen".