3052612978272 has 1152 divisors, whose sum is σ = 10775206310400. Its totient is φ = 840232673280.

The previous prime is 3052612978267. The next prime is 3052612978273. The reversal of 3052612978272 is 2728792162503.

3052612978272 is a `hidden beast` number, since 3 + 0 + 526 + 1 + 2 + 97 + 8 + 27 + 2 = 666.

3052612978272 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 2×3052612978272² (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 not an unprimeable number, because it can be changed into a prime (3052612978273) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21961244379 + ... + 21961244517.

It is an arithmetic number, because the mean of its divisors is an integer number (9353477700).

Almost surely, 2^{3052612978272} is an apocalyptic number.

3052612978272 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 3052612978272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387603155200).

3052612978272 is an abundant number, since it is smaller than the sum of its proper divisors (7722593332128).

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

3052612978272 is a wasteful number, since it uses less digits than its factorization.

3052612978272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3052612978272 in words is "three trillion, fifty-two billion, six hundred twelve million, nine hundred seventy-eight thousand, two hundred seventy-two".