3552605894880 has 864 divisors, whose sum is σ = 14302341668160. Its totient is φ = 800588759040.

The previous prime is 3552605894879. The next prime is 3552605894917. The reversal of 3552605894880 is 884985062553.

3552605894880 is a `hidden beast` number, since 3 + 5 + 5 + 2 + 6 + 0 + 589 + 48 + 8 + 0 = 666.

It is a super-2 number, since 2×3552605894880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2128582686 + ... + 2128584354.

It is an arithmetic number, because the mean of its divisors is an integer number (16553636190).

Almost surely, 2^{3552605894880} is an apocalyptic number.

3552605894880 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 3552605894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151170834080).

3552605894880 is an abundant number, since it is smaller than the sum of its proper divisors (10749735773280).

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

3552605894880 is a wasteful number, since it uses less digits than its factorization.

3552605894880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 3552605894880 in words is "three trillion, five hundred fifty-two billion, six hundred five million, eight hundred ninety-four thousand, eight hundred eighty".