34512304440 has 128 divisors (see below), whose sum is σ = 104632819200. Its totient is φ = 9106321920.

The previous prime is 34512304429. The next prime is 34512304493. The reversal of 34512304440 is 4440321543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34512304398 and 34512304407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5184154 + ... + 5190806.

It is an arithmetic number, because the mean of its divisors is an integer number (817443900).

Almost surely, 2^34512304440 is an apocalyptic number.

34512304440 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 34512304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52316409600).

34512304440 is an abundant number, since it is smaller than the sum of its proper divisors (70120514760).

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

34512304440 is a wasteful number, since it uses less digits than its factorization.

34512304440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34512304440 its reverse (4440321543), we get a palindrome (38952625983).

The spelling of 34512304440 in words is "thirty-four billion, five hundred twelve million, three hundred four thousand, four hundred forty".