3589166528640 has 1536 divisors, whose sum is σ = 16342117908480. Its totient is φ = 704028672000.

The previous prime is 3589166528617. The next prime is 3589166528641. The reversal of 3589166528640 is 468256619853.

It is a happy number.

3589166528640 is a `hidden beast` number, since 3 + 5 + 8 + 9 + 1 + 66 + 528 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3589166528641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 563710737 + ... + 563717103.

It is an arithmetic number, because the mean of its divisors is an integer number (10639399680).

Almost surely, 2^{3589166528640} is an apocalyptic number.

3589166528640 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 3589166528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171058954240).

3589166528640 is an abundant number, since it is smaller than the sum of its proper divisors (12752951379840).

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

3589166528640 is a wasteful number, since it uses less digits than its factorization.

3589166528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3589166528640 in words is "three trillion, five hundred eighty-nine billion, one hundred sixty-six million, five hundred twenty-eight thousand, six hundred forty".