3613088468880 has 600 divisors, whose sum is σ = 13819733589816. Its totient is φ = 874222018560.

The previous prime is 3613088468833. The next prime is 3613088468887. The reversal of 3613088468880 is 888648803163.

3613088468880 is a `hidden beast` number, since 3 + 6 + 13 + 0 + 88 + 468 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166689292176 + 3446399176704 = 408276^2 + 1856448^2 .

It is not an unprimeable number, because it can be changed into a prime (3613088468887) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 436728424 + ... + 436736696.

Almost surely, 2^{3613088468880} is an apocalyptic number.

3613088468880 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 3613088468880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909866794908).

3613088468880 is an abundant number, since it is smaller than the sum of its proper divisors (10206645120936).

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

3613088468880 is a wasteful number, since it uses less digits than its factorization.

3613088468880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8877 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 3613088468880 in words is "three trillion, six hundred thirteen billion, eighty-eight million, four hundred sixty-eight thousand, eight hundred eighty".