34040424312 has 80 divisors (see below), whose sum is σ = 95424888240. Its totient is φ = 11337266304.

The previous prime is 34040424311. The next prime is 34040424337. The reversal of 34040424312 is 21342404043.

It is a happy number.

34040424312 is a `hidden beast` number, since 3 + 4 + 0 + 404 + 243 + 12 = 666.

It is a super-3 number, since 3×34040424312³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040424311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 771028 + ... + 813980.

It is an arithmetic number, because the mean of its divisors is an integer number (1192811103).

Almost surely, 2^34040424312 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 34040424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47712444120).

34040424312 is an abundant number, since it is smaller than the sum of its proper divisors (61384463928).

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

34040424312 is a wasteful number, since it uses less digits than its factorization.

34040424312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44194 (or 44181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34040424312 its reverse (21342404043), we get a palindrome (55382828355).

The spelling of 34040424312 in words is "thirty-four billion, forty million, four hundred twenty-four thousand, three hundred twelve".