3539121610752 has 1008 divisors, whose sum is σ = 13286577350592. Its totient is φ = 933060280320.

The previous prime is 3539121610751. The next prime is 3539121610753. The reversal of 3539121610752 is 2570161219353.

3539121610752 is a `hidden beast` number, since 3 + 5 + 3 + 9 + 1 + 21 + 610 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3539121610751) and next prime (3539121610753).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 3539121610698 and 3539121610707.

It is not an unprimeable number, because it can be changed into a prime (3539121610751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1268046477 + ... + 1268049267.

It is an arithmetic number, because the mean of its divisors is an integer number (13181128324).

Almost surely, 2^{3539121610752} is an apocalyptic number.

3539121610752 is a gapful number since it is divisible by the number (32) 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 3539121610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643288675296).

3539121610752 is an abundant number, since it is smaller than the sum of its proper divisors (9747455739840).

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

3539121610752 is an equidigital number, since it uses as much as digits as its factorization.

3539121610752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 3539121610752 in words is "three trillion, five hundred thirty-nine billion, one hundred twenty-one million, six hundred ten thousand, seven hundred fifty-two".