3601145669760 has 96 divisors (see below), whose sum is σ = 12435206160780. Its totient is φ = 960305510400.

The previous prime is 3601145669753. The next prime is 3601145669801. The reversal of 3601145669760 is 679665411063.

It is a happy number.

3601145669760 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 1 + 4 + 566 + 9 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3320762711616 + 280382958144 = 1822296^2 + 529512^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3601145669697 and 3601145669706.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312593691 + ... + 312605210.

Almost surely, 2^{3601145669760} is an apocalyptic number.

3601145669760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3601145669760 is an abundant number, since it is smaller than the sum of its proper divisors (8834060491020).

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

3601145669760 is a wasteful number, since it uses less digits than its factorization.

3601145669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625198926 (or 625198911 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3601145669760 in words is "three trillion, six hundred one billion, one hundred forty-five million, six hundred sixty-nine thousand, seven hundred sixty".