3580746532920 has 384 divisors, whose sum is σ = 12243119616000. Its totient is φ = 941088844800.

The previous prime is 3580746532897. The next prime is 3580746532921. The reversal of 3580746532920 is 292356470853.

3580746532920 is a `hidden beast` number, since 3 + 5 + 80 + 7 + 4 + 6 + 532 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3580746532921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461492001 + ... + 461499759.

It is an arithmetic number, because the mean of its divisors is an integer number (31883124000).

Almost surely, 2^{3580746532920} is an apocalyptic number.

3580746532920 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 3580746532920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121559808000).

3580746532920 is an abundant number, since it is smaller than the sum of its proper divisors (8662373083080).

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

3580746532920 is a wasteful number, since it uses less digits than its factorization.

3580746532920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8465 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 3580746532920 in words is "three trillion, five hundred eighty billion, seven hundred forty-six million, five hundred thirty-two thousand, nine hundred twenty".