34024240040 has 128 divisors (see below), whose sum is σ = 89092258560. Its totient is φ = 11453405184.

The previous prime is 34024240039. The next prime is 34024240051. The reversal of 34024240040 is 4004242043.

It is a junction number, because it is equal to n+sod(n) for n = 34024239988 and 34024240015.

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, 4636214 + ... + 4643546.

It is an arithmetic number, because the mean of its divisors is an integer number (696033270).

Almost surely, 2^34024240040 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 34024240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44546129280).

34024240040 is an abundant number, since it is smaller than the sum of its proper divisors (55068018520).

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

34024240040 is a wasteful number, since it uses less digits than its factorization.

34024240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 34024240040 its reverse (4004242043), we get a palindrome (38028482083).

The spelling of 34024240040 in words is "thirty-four billion, twenty-four million, two hundred forty thousand, forty".