3301728478272 has 448 divisors, whose sum is σ = 11298808227840. Its totient is φ = 926004897792.

The previous prime is 3301728478261. The next prime is 3301728478291. The reversal of 3301728478272 is 2728748271033.

3301728478272 is a `hidden beast` number, since 3 + 30 + 1 + 72 + 8 + 478 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3301728478272² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157612503 + ... + 157633449.

It is an arithmetic number, because the mean of its divisors is an integer number (25220554080).

Almost surely, 2^{3301728478272} is an apocalyptic number.

3301728478272 is a gapful number since it is divisible by the number (32) 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 3301728478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649404113920).

3301728478272 is an abundant number, since it is smaller than the sum of its proper divisors (7997079749568).

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

3301728478272 is a wasteful number, since it uses less digits than its factorization.

3301728478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21215 (or 21199 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 3301728478272 in words is "three trillion, three hundred one billion, seven hundred twenty-eight million, four hundred seventy-eight thousand, two hundred seventy-two".