3613225301280 has 576 divisors, whose sum is σ = 14763337924608. Its totient is φ = 787305277440.

The previous prime is 3613225301251. The next prime is 3613225301341. The reversal of 3613225301280 is 821035223163.

3613225301280 is a `hidden beast` number, since 3 + 6 + 1 + 32 + 2 + 530 + 12 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20849869 + ... + 21022451.

It is an arithmetic number, because the mean of its divisors is an integer number (25630795008).

Almost surely, 2^{3613225301280} is an apocalyptic number.

3613225301280 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 3613225301280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381668962304).

3613225301280 is an abundant number, since it is smaller than the sum of its proper divisors (11150112623328).

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

3613225301280 is a wasteful number, since it uses less digits than its factorization.

3613225301280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172709 (or 172698 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3613225301280 in words is "three trillion, six hundred thirteen billion, two hundred twenty-five million, three hundred one thousand, two hundred eighty".