3601910964960 has 864 divisors, whose sum is σ = 15613334755200. Its totient is φ = 747720529920.

The previous prime is 3601910964943. The next prime is 3601910965019. The reversal of 3601910964960 is 694690191063.

3601910964960 is a `hidden beast` number, since 3 + 60 + 1 + 9 + 1 + 0 + 96 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3601910964897 and 3601910964906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1225555171 + ... + 1225558109.

It is an arithmetic number, because the mean of its divisors is an integer number (18070989300).

Almost surely, 2^{3601910964960} is an apocalyptic number.

3601910964960 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 3601910964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806667377600).

3601910964960 is an abundant number, since it is smaller than the sum of its proper divisors (12011423790240).

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

3601910964960 is a wasteful number, since it uses less digits than its factorization.

3601910964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 3601910964960 in words is "three trillion, six hundred one billion, nine hundred ten million, nine hundred sixty-four thousand, nine hundred sixty".