3526227936000 has 1728 divisors, whose sum is σ = 16653884083200. Its totient is φ = 694075392000.

The previous prime is 3526227935963. The next prime is 3526227936041. The reversal of 3526227936000 is 6397226253.

3526227936000 is a `hidden beast` number, since 3 + 5 + 262 + 27 + 9 + 360 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 421339816 + ... + 421348184.

It is an arithmetic number, because the mean of its divisors is an integer number (9637664400).

Almost surely, 2^{3526227936000} is an apocalyptic number.

3526227936000 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 3526227936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326942041600).

3526227936000 is an abundant number, since it is smaller than the sum of its proper divisors (13127656147200).

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

3526227936000 is a wasteful number, since it uses less digits than its factorization.

3526227936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3526227936000 in words is "three trillion, five hundred twenty-six billion, two hundred twenty-seven million, nine hundred thirty-six thousand".