34424500440 has 128 divisors (see below), whose sum is σ = 112746816000. Its totient is φ = 8339051520.

The previous prime is 34424500423. The next prime is 34424500441. The reversal of 34424500440 is 4400542443.

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 = 34424500398 and 34424500407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34424500441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1882461 + ... + 1900659.

It is an arithmetic number, because the mean of its divisors is an integer number (880834500).

Almost surely, 2^34424500440 is an apocalyptic number.

34424500440 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 34424500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56373408000).

34424500440 is an abundant number, since it is smaller than the sum of its proper divisors (78322315560).

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

34424500440 is a wasteful number, since it uses less digits than its factorization.

34424500440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19657 (or 19653 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The spelling of 34424500440 in words is "thirty-four billion, four hundred twenty-four million, five hundred thousand, four hundred forty".