3213114342400 has 264 divisors, whose sum is σ = 8058157709184. Its totient is φ = 1270236364800.

The previous prime is 3213114342379. The next prime is 3213114342421. The reversal of 3213114342400 is 42434113123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3213114342379) and next prime (3213114342421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881994979 + ... + 881998621.

It is an arithmetic number, because the mean of its divisors is an integer number (30523324656).

Almost surely, 2^{3213114342400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213114342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029078854592).

3213114342400 is an abundant number, since it is smaller than the sum of its proper divisors (4845043366784).

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

3213114342400 is a wasteful number, since it uses less digits than its factorization.

3213114342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 3213114342400 its reverse (42434113123), we get a palindrome (3255548455523).

The spelling of 3213114342400 in words is "three trillion, two hundred thirteen billion, one hundred fourteen million, three hundred forty-two thousand, four hundred".