3604216882320 has 560 divisors, whose sum is σ = 13533284385792. Its totient is φ = 889670200320.

The previous prime is 3604216882313. The next prime is 3604216882327. The reversal of 3604216882320 is 232886124063.

3604216882320 is a `hidden beast` number, since 3 + 60 + 421 + 68 + 82 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3604216882313) and next prime (3604216882327).

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

It is not an unprimeable number, because it can be changed into a prime (3604216882327) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41538822 + ... + 41625498.

Almost surely, 2^{3604216882320} is an apocalyptic number.

3604216882320 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 3604216882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766642192896).

3604216882320 is an abundant number, since it is smaller than the sum of its proper divisors (9929067503472).

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

3604216882320 is a wasteful number, since it uses less digits than its factorization.

3604216882320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86762 (or 86741 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3604216882320 in words is "three trillion, six hundred four billion, two hundred sixteen million, eight hundred eighty-two thousand, three hundred twenty".