3215311667004 has 192 divisors, whose sum is σ = 8279530463232. Its totient is φ = 967026278400.

The previous prime is 3215311667003. The next prime is 3215311667039. The reversal of 3215311667004 is 4007661135123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3215311667003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325728189 + ... + 325738059.

It is an arithmetic number, because the mean of its divisors is an integer number (43122554496).

Almost surely, 2^{3215311667004} is an apocalyptic number.

3215311667004 is a gapful number since it is divisible by the number (34) 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 3215311667004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139765231616).

3215311667004 is an abundant number, since it is smaller than the sum of its proper divisors (5064218796228).

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

3215311667004 is a wasteful number, since it uses less digits than its factorization.

3215311667004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10636 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 3215311667004 in words is "three trillion, two hundred fifteen billion, three hundred eleven million, six hundred sixty-seven thousand, four".