3565238328000 has 560 divisors, whose sum is σ = 13615010542848. Its totient is φ = 920056320000.

The previous prime is 3565238327951. The next prime is 3565238328059. The reversal of 3565238328000 is 8238325653.

3565238328000 is a `hidden beast` number, since 3 + 565 + 2 + 3 + 8 + 3 + 2 + 80 + 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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19999260 + ... + 20176740.

Almost surely, 2^{3565238328000} is an apocalyptic number.

3565238328000 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 3565238328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807505271424).

3565238328000 is an abundant number, since it is smaller than the sum of its proper divisors (10049772214848).

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

3565238328000 is a wasteful number, since it uses less digits than its factorization.

3565238328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177551 (or 177522 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 3565238328000 in words is "three trillion, five hundred sixty-five billion, two hundred thirty-eight million, three hundred twenty-eight thousand".