3302069146272 has 216 divisors, whose sum is σ = 10176149509344. Its totient is φ = 1015222021632.

The previous prime is 3302069146247. The next prime is 3302069146279. The reversal of 3302069146272 is 2726419602033.

3302069146272 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 0 + 6 + 9 + 14 + 627 + 2 = 666.

It is a super-2 number, since 2×3302069146272² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3302069146279) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63393583 + ... + 63445649.

It is an arithmetic number, because the mean of its divisors is an integer number (47111803284).

Almost surely, 2^{3302069146272} is an apocalyptic number.

3302069146272 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 3302069146272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088074754672).

3302069146272 is an abundant number, since it is smaller than the sum of its proper divisors (6874080363072).

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

3302069146272 is a wasteful number, since it uses less digits than its factorization.

3302069146272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53412 (or 53388 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3302069146272 in words is "three trillion, three hundred two billion, sixty-nine million, one hundred forty-six thousand, two hundred seventy-two".