3001601707104 has 1152 divisors, whose sum is σ = 11828691947520. Its totient is φ = 652080844800.

The previous prime is 3001601707099. The next prime is 3001601707157. The reversal of 3001601707104 is 4017071061003.

It is a super-2 number, since 2×3001601707104² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 293952559 + ... + 293962769.

It is an arithmetic number, because the mean of its divisors is an integer number (10267961760).

Almost surely, 2^{3001601707104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001601707104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914345973760).

3001601707104 is an abundant number, since it is smaller than the sum of its proper divisors (8827090240416).

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

3001601707104 is a wasteful number, since it uses less digits than its factorization.

3001601707104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

Adding to 3001601707104 its reverse (4017071061003), we get a palindrome (7018672768107).

The spelling of 3001601707104 in words is "three trillion, one billion, six hundred one million, seven hundred seven thousand, one hundred four".