3580323213312 has 572 divisors, whose sum is σ = 10917345714264. Its totient is φ = 1173850030080.

The previous prime is 3580323213277. The next prime is 3580323213317. The reversal of 3580323213312 is 2133123230853.

3580323213312 is a `hidden beast` number, since 3 + 5 + 8 + 0 + 323 + 2 + 13 + 312 = 666.

It is a super-3 number, since 3×3580323213312³ (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3580323213317) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 27330711487 + ... + 27330711617.

Almost surely, 2^{3580323213312} is an apocalyptic number.

3580323213312 is a gapful number since it is divisible by the number (32) 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 3580323213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458672857132).

3580323213312 is an abundant number, since it is smaller than the sum of its proper divisors (7337022500952).

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

3580323213312 is an frugal number, since it uses more digits than its factorization.

3580323213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

It can be divided in two parts, 3580323 and 213312, that added together give a triangular number (3793635 = T₂₇₅₄).

The spelling of 3580323213312 in words is "three trillion, five hundred eighty billion, three hundred twenty-three million, two hundred thirteen thousand, three hundred twelve".