3522064553280 has 672 divisors, whose sum is σ = 15787156379904. Its totient is φ = 699403272192.

The previous prime is 3522064553279. The next prime is 3522064553299. The reversal of 3522064553280 is 823554602253.

3522064553280 is a `hidden beast` number, since 3 + 52 + 2 + 0 + 64 + 5 + 532 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×3522064553280³ (a number of 39 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4060099 + ... + 4850621.

It is an arithmetic number, because the mean of its divisors is an integer number (23492792232).

Almost surely, 2^{3522064553280} is an apocalyptic number.

3522064553280 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 3522064553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893578189952).

3522064553280 is an abundant number, since it is smaller than the sum of its proper divisors (12265091826624).

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

3522064553280 is a wasteful number, since it uses less digits than its factorization.

3522064553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790583 (or 790570 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 3522064553280 in words is "three trillion, five hundred twenty-two billion, sixty-four million, five hundred fifty-three thousand, two hundred eighty".