3545531136000 has 1536 divisors, whose sum is σ = 15123986841600. Its totient is φ = 802632499200.

The previous prime is 3545531135989. The next prime is 3545531136001. The reversal of 3545531136000 is 6311355453.

3545531136000 is a `hidden beast` number, since 3 + 5 + 4 + 5 + 5 + 31 + 13 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3545531136001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6144767712 + ... + 6144768288.

It is an arithmetic number, because the mean of its divisors is an integer number (9846345600).

Almost surely, 2^{3545531136000} is an apocalyptic number.

3545531136000 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 3545531136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561993420800).

3545531136000 is an abundant number, since it is smaller than the sum of its proper divisors (11578455705600).

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

3545531136000 is a wasteful number, since it uses less digits than its factorization.

3545531136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 3545531136000 in words is "three trillion, five hundred forty-five billion, five hundred thirty-one million, one hundred thirty-six thousand".