3613855230720 has 864 divisors, whose sum is σ = 15105837626880. Its totient is φ = 779222384640.

The previous prime is 3613855230709. The next prime is 3613855230749. The reversal of 3613855230720 is 270325583163.

3613855230720 is a `hidden beast` number, since 3 + 61 + 3 + 8 + 552 + 30 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 369245667 + ... + 369255453.

Almost surely, 2^{3613855230720} is an apocalyptic number.

3613855230720 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 3613855230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552918813440).

3613855230720 is an abundant number, since it is smaller than the sum of its proper divisors (11491982396160).

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

3613855230720 is a wasteful number, since it uses less digits than its factorization.

3613855230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10081 (or 10064 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3613855230720 in words is "three trillion, six hundred thirteen billion, eight hundred fifty-five million, two hundred thirty thousand, seven hundred twenty".