3522542688000 has 1152 divisors, whose sum is σ = 15080787671040. Its totient is φ = 793044172800.

The previous prime is 3522542687969. The next prime is 3522542688029. The reversal of 3522542688000 is 8862452253.

3522542688000 is a `hidden beast` number, since 3 + 5 + 22 + 542 + 6 + 8 + 80 + 0 + 0 = 666.

3522542688000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 405211654 + ... + 405220346.

It is an arithmetic number, because the mean of its divisors is an integer number (13090961520).

Almost surely, 2^{3522542688000} is an apocalyptic number.

3522542688000 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 3522542688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540393835520).

3522542688000 is an abundant number, since it is smaller than the sum of its proper divisors (11558244983040).

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

3522542688000 is an equidigital number, since it uses as much as digits as its factorization.

3522542688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8807 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 3522542688000 in words is "three trillion, five hundred twenty-two billion, five hundred forty-two million, six hundred eighty-eight thousand".