34012133344310 has 192 divisors, whose sum is σ = 70547774774400. Its totient is φ = 11787164928000.

The previous prime is 34012133344271. The next prime is 34012133344333. The reversal of 34012133344310 is 1344333121043.

It is a happy number.

It is a super-2 number, since 2×34012133344310² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383887496 + ... + 383976084.

It is an arithmetic number, because the mean of its divisors is an integer number (367436326950).

Almost surely, 2^{34012133344310} is an apocalyptic number.

34012133344310 is an abundant number, since it is smaller than the sum of its proper divisors (36535641430090).

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

34012133344310 is a wasteful number, since it uses less digits than its factorization.

34012133344310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88839 (or 88828 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 34012133344310 its reverse (1344333121043), we get a palindrome (35356466465353).

The spelling of 34012133344310 in words is "thirty-four trillion, twelve billion, one hundred thirty-three million, three hundred forty-four thousand, three hundred ten".