3466211328000 has 768 divisors, whose sum is σ = 13234146288480. Its totient is φ = 869793792000.

The previous prime is 3466211327951. The next prime is 3466211328001. The reversal of 3466211328000 is 8231126643.

3466211328000 is a `hidden beast` number, since 3 + 4 + 6 + 621 + 1 + 3 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466211328001) 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 47 ways as a sum of consecutive naturals, for example, 626685235 + ... + 626690765.

Almost surely, 2^{3466211328000} is an apocalyptic number.

3466211328000 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 3466211328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617073144240).

3466211328000 is an abundant number, since it is smaller than the sum of its proper divisors (9767934960480).

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

3466211328000 is an equidigital number, since it uses as much as digits as its factorization.

3466211328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3466211328000 in words is "three trillion, four hundred sixty-six billion, two hundred eleven million, three hundred twenty-eight thousand".