3428772544512 has 1224 divisors, whose sum is σ = 12307503985920. Its totient is φ = 915595591680.

The previous prime is 3428772544507. The next prime is 3428772544517. The reversal of 3428772544512 is 2154452778243.

3428772544512 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 7 + 72 + 54 + 4 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (3428772544507) and next prime (3428772544517).

Its product of digits (15052800) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428772544517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38525534164 + ... + 38525534252.

Almost surely, 2^{3428772544512} is an apocalyptic number.

3428772544512 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 3428772544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153751992960).

3428772544512 is an abundant number, since it is smaller than the sum of its proper divisors (8878731441408).

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

3428772544512 is an equidigital number, since it uses as much as digits as its factorization.

3428772544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 175 counting only the distinct ones).

The product of its digits is 15052800, while the sum is 54.

The spelling of 3428772544512 in words is "three trillion, four hundred twenty-eight billion, seven hundred seventy-two million, five hundred forty-four thousand, five hundred twelve".