3234144413340 has 384 divisors, whose sum is σ = 11004542115840. Its totient is φ = 785006899200.

The previous prime is 3234144413333. The next prime is 3234144413387. The reversal of 3234144413340 is 433144414323.

3234144413340 is a `hidden beast` number, since 3 + 2 + 3 + 41 + 444 + 133 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3234144413295 and 3234144413304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 606437314 + ... + 606442646.

It is an arithmetic number, because the mean of its divisors is an integer number (28657661760).

Almost surely, 2^{3234144413340} is an apocalyptic number.

3234144413340 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 3234144413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502271057920).

3234144413340 is an abundant number, since it is smaller than the sum of its proper divisors (7770397702500).

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

3234144413340 is a wasteful number, since it uses less digits than its factorization.

3234144413340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 3234144413340 its reverse (433144414323), we get a palindrome (3667288827663).

The spelling of 3234144413340 in words is "three trillion, two hundred thirty-four billion, one hundred forty-four million, four hundred thirteen thousand, three hundred forty".