3213420434340 has 192 divisors, whose sum is σ = 9168831479808. Its totient is φ = 840713702400.

The previous prime is 3213420434303. The next prime is 3213420434347. The reversal of 3213420434340 is 434340243123.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3213420434347) 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, 1195912477 + ... + 1195915163.

It is an arithmetic number, because the mean of its divisors is an integer number (47754330624).

Almost surely, 2^{3213420434340} is an apocalyptic number.

3213420434340 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 3213420434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584415739904).

3213420434340 is an abundant number, since it is smaller than the sum of its proper divisors (5955411045468).

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

3213420434340 is a wasteful number, since it uses less digits than its factorization.

3213420434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 3213420434340 its reverse (434340243123), we get a palindrome (3647760677463).

The spelling of 3213420434340 in words is "three trillion, two hundred thirteen billion, four hundred twenty million, four hundred thirty-four thousand, three hundred forty".