3228054379200 has 3024 divisors, whose sum is σ = 14820903901440. Its totient is φ = 687463096320.

The previous prime is 3228054379163. The next prime is 3228054379211. The reversal of 3228054379200 is 29734508223.

3228054379200 is a `hidden beast` number, since 3 + 2 + 2 + 8 + 0 + 5 + 437 + 9 + 200 = 666.

3228054379200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 23223412731 + ... + 23223412869.

It is an arithmetic number, because the mean of its divisors is an integer number (4901092560).

Almost surely, 2^{3228054379200} is an apocalyptic number.

3228054379200 is a gapful number since it is divisible by the number (30) 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 3228054379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410451950720).

3228054379200 is an abundant number, since it is smaller than the sum of its proper divisors (11592849522240).

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

3228054379200 is a wasteful number, since it uses less digits than its factorization.

3228054379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3228054379200 in words is "three trillion, two hundred twenty-eight billion, fifty-four million, three hundred seventy-nine thousand, two hundred".