3603728938320 has 960 divisors, whose sum is σ = 14589399552000. Its totient is φ = 809682407424.

The previous prime is 3603728938307. The next prime is 3603728938333. The reversal of 3603728938320 is 238398273063.

It is a happy number.

3603728938320 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 7 + 289 + 38 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (3603728938307) and next prime (3603728938333).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4956985797 + ... + 4956986523.

It is an arithmetic number, because the mean of its divisors is an integer number (15197291200).

Almost surely, 2^{3603728938320} is an apocalyptic number.

3603728938320 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 3603728938320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7294699776000).

3603728938320 is an abundant number, since it is smaller than the sum of its proper divisors (10985670613680).

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

3603728938320 is a wasteful number, since it uses less digits than its factorization.

3603728938320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3603728938320 in words is "three trillion, six hundred three billion, seven hundred twenty-eight million, nine hundred thirty-eight thousand, three hundred twenty".