3287585448900 has 243 divisors, whose sum is σ = 10879074458343. Its totient is φ = 830286806400.

The previous prime is 3287585448877. The next prime is 3287585448911. The reversal of 3287585448900 is 98445857823.

The square root of 3287585448900 is 1813170.

It is a perfect power (a square), and thus also a powerful number.

3287585448900 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 5 + 8 + 544 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1205959778244 + 2081625670656 = 1098162^2 + 1442784^2 .

It is a super-2 number, since 2×3287585448900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1033505310 + ... + 1033508490.

Almost surely, 2^{3287585448900} is an apocalyptic number.

3287585448900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3287585448900 is the 1813170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3287585448900

3287585448900 is an abundant number, since it is smaller than the sum of its proper divisors (7591489009443).

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

3287585448900 is a wasteful number, since it uses less digits than its factorization.

3287585448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 3287585448900 in words is "three trillion, two hundred eighty-seven billion, five hundred eighty-five million, four hundred forty-eight thousand, nine hundred".