3603756281328 has 400 divisors, whose sum is σ = 12112212102144. Its totient is φ = 1013108912640.

The previous prime is 3603756281311. The next prime is 3603756281369. The reversal of 3603756281328 is 8231826573063.

It is a happy number.

3603756281328 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 7 + 5 + 628 + 1 + 3 + 2 + 8 = 666.

3603756281328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3603756281328² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 620585401 + ... + 620591207.

Almost surely, 2^{3603756281328} 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 3603756281328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056106051072).

3603756281328 is an abundant number, since it is smaller than the sum of its proper divisors (8508455820816).

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

3603756281328 is a wasteful number, since it uses less digits than its factorization.

3603756281328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3603756281328 in words is "three trillion, six hundred three billion, seven hundred fifty-six million, two hundred eighty-one thousand, three hundred twenty-eight".