3552852533760 has 1280 divisors, whose sum is σ = 13241156797440. Its totient is φ = 913711104000.

The previous prime is 3552852533759. The next prime is 3552852533827. The reversal of 3552852533760 is 673352582553.

3552852533760 is a `hidden beast` number, since 3 + 5 + 5 + 28 + 525 + 3 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3552852533760² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3552852533697 and 3552852533706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34493713869 + ... + 34493713971.

It is an arithmetic number, because the mean of its divisors is an integer number (10344653748).

Almost surely, 2^{3552852533760} is an apocalyptic number.

3552852533760 is a gapful number since it is divisible by the number (30) 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 3552852533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620578398720).

3552852533760 is an abundant number, since it is smaller than the sum of its proper divisors (9688304263680).

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

3552852533760 is an equidigital number, since it uses as much as digits as its factorization.

3552852533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 3552852533760 in words is "three trillion, five hundred fifty-two billion, eight hundred fifty-two million, five hundred thirty-three thousand, seven hundred sixty".