2955284352 has 352 divisors, whose sum is σ = 9757201680. Its totient is φ = 886837248.

The previous prime is 2955284351. The next prime is 2955284401. The reversal of 2955284352 is 2534825592.

2955284352 is a `hidden beast` number, since 2 + 9 + 552 + 8 + 43 + 52 = 666.

Its product of digits (864000) is a multiple of the sum of its prime divisors (45).

It is a junction number, because it is equal to n+sod(n) for n = 2955284298 and 2955284307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2955284351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 128490613 + ... + 128490635.

Almost surely, 2^2955284352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2955284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878600840).

2955284352 is an abundant number, since it is smaller than the sum of its proper divisors (6801917328).

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

2955284352 is an frugal number, since it uses more digits than its factorization.

2955284352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 2955284352 is about 54362.5270935780. The cubic root of 2955284352 is about 1435.0479900748.

The spelling of 2955284352 in words is "two billion, nine hundred fifty-five million, two hundred eighty-four thousand, three hundred fifty-two".