3361589532000 has 1728 divisors, whose sum is σ = 14730152149440. Its totient is φ = 742452480000.

The previous prime is 3361589531999. The next prime is 3361589532029. The reversal of 3361589532000 is 2359851633.

It is a happy number.

3361589532000 is a `hidden beast` number, since 3 + 3 + 61 + 58 + 9 + 532 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3361589532000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5085611670 + ... + 5085612330.

It is an arithmetic number, because the mean of its divisors is an integer number (8524393605).

Almost surely, 2^{3361589532000} is an apocalyptic number.

3361589532000 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 3361589532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365076074720).

3361589532000 is an abundant number, since it is smaller than the sum of its proper divisors (11368562617440).

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

3361589532000 is a wasteful number, since it uses less digits than its factorization.

3361589532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 3361589532000 in words is "three trillion, three hundred sixty-one billion, five hundred eighty-nine million, five hundred thirty-two thousand".