3586480334976 has 384 divisors, whose sum is σ = 12128993775360. Its totient is φ = 928502507520.

The previous prime is 3586480334881. The next prime is 3586480334977. The reversal of 3586480334976 is 6794330846853.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3586480334976² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (3586480334977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63513411 + ... + 63569853.

It is an arithmetic number, because the mean of its divisors is an integer number (31585921290).

Almost surely, 2^{3586480334976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3586480334976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064496887680).

3586480334976 is an abundant number, since it is smaller than the sum of its proper divisors (8542513440384).

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

3586480334976 is a wasteful number, since it uses less digits than its factorization.

3586480334976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56792 (or 56773 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 66.

The spelling of 3586480334976 in words is "three trillion, five hundred eighty-six billion, four hundred eighty million, three hundred thirty-four thousand, nine hundred seventy-six".