3601604170080 has 576 divisors, whose sum is σ = 15136723445760. Its totient is φ = 796666752000.

The previous prime is 3601604170067. The next prime is 3601604170081. The reversal of 3601604170080 is 800714061063.

3601604170080 is a `hidden beast` number, since 3 + 6 + 0 + 160 + 417 + 0 + 0 + 80 = 666.

It is a super-4 number, since 4×3601604170080⁴ (a number of 51 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3601604170081) 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, 6287655 + ... + 6836505.

It is an arithmetic number, because the mean of its divisors is an integer number (26279033760).

Almost surely, 2^{3601604170080} is an apocalyptic number.

3601604170080 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 3601604170080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568361722880).

3601604170080 is an abundant number, since it is smaller than the sum of its proper divisors (11535119275680).

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

3601604170080 is a wasteful number, since it uses less digits than its factorization.

3601604170080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548920 (or 548899 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 3601604170080 in words is "three trillion, six hundred one billion, six hundred four million, one hundred seventy thousand, eighty".