3601485903600 has 960 divisors, whose sum is σ = 14177872558080. Its totient is φ = 862667366400.

The previous prime is 3601485903593. The next prime is 3601485903671. The reversal of 3601485903600 is 63095841063.

3601485903600 is a `hidden beast` number, since 3 + 60 + 148 + 5 + 90 + 360 + 0 = 666.

It is a super-3 number, since 3×3601485903600³ (a number of 39 digits) contains 333 as substring.

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

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, 3724390317 + ... + 3724391283.

It is an arithmetic number, because the mean of its divisors is an integer number (14768617248).

Almost surely, 2^{3601485903600} is an apocalyptic number.

3601485903600 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 3601485903600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088936279040).

3601485903600 is an abundant number, since it is smaller than the sum of its proper divisors (10576386654480).

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

3601485903600 is a wasteful number, since it uses less digits than its factorization.

3601485903600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3601485903600 in words is "three trillion, six hundred one billion, four hundred eighty-five million, nine hundred three thousand, six hundred".