3045216329100 has 864 divisors, whose sum is σ = 11182071176640. Its totient is φ = 690715238400.

The previous prime is 3045216329087. The next prime is 3045216329119. The reversal of 3045216329100 is 19236125403.

3045216329100 is a `hidden beast` number, since 3 + 0 + 4 + 5 + 2 + 1 + 632 + 9 + 10 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 4663424374 + ... + 4663425026.

It is an arithmetic number, because the mean of its divisors is an integer number (12942212010).

Almost surely, 2^{3045216329100} is an apocalyptic number.

3045216329100 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 3045216329100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591035588320).

3045216329100 is an abundant number, since it is smaller than the sum of its proper divisors (8136854847540).

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

3045216329100 is a wasteful number, since it uses less digits than its factorization.

3045216329100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3045216329100 in words is "three trillion, forty-five billion, two hundred sixteen million, three hundred twenty-nine thousand, one hundred".