3213812160000 has 2400 divisors, whose sum is σ = 13474734704640. Its totient is φ = 754790400000.

The previous prime is 3213812159977. The next prime is 3213812160001. The reversal of 3213812160000 is 612183123.

It is a happy number.

3213812160000 is a `hidden beast` number, since 3 + 2 + 1 + 38 + 1 + 21 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213812160001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45264959965 + ... + 45264960035.

Almost surely, 2^{3213812160000} is an apocalyptic number.

3213812160000 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 3213812160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737367352320).

3213812160000 is an abundant number, since it is smaller than the sum of its proper divisors (10260922544640).

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

3213812160000 is an equidigital number, since it uses as much as digits as its factorization.

3213812160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 3213812160000 in words is "three trillion, two hundred thirteen billion, eight hundred twelve million, one hundred sixty thousand".