3045952123200 has 1680 divisors, whose sum is σ = 13200688685184. Its totient is φ = 677221171200.

The previous prime is 3045952123111. The next prime is 3045952123307. The reversal of 3045952123200 is 23212595403.

3045952123200 is a `hidden beast` number, since 3 + 0 + 4 + 595 + 21 + 23 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9038433432 + ... + 9038433768.

Almost surely, 2^{3045952123200} is an apocalyptic number.

3045952123200 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 3045952123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600344342592).

3045952123200 is an abundant number, since it is smaller than the sum of its proper divisors (10154736561984).

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

3045952123200 is an frugal number, since it uses more digits than its factorization.

3045952123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 3045952123200 in words is "three trillion, forty-five billion, nine hundred fifty-two million, one hundred twenty-three thousand, two hundred".