34023057640 has 128 divisors (see below), whose sum is σ = 90161164800. Its totient is φ = 11391621120.

The previous prime is 34023057637. The next prime is 34023057697. The reversal of 34023057640 is 4675032043.

It is a junction number, because it is equal to n+sod(n) for n = 34023057596 and 34023057605.

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, 2332209 + ... + 2346751.

It is an arithmetic number, because the mean of its divisors is an integer number (704384100).

Almost surely, 2^34023057640 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 34023057640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45080582400).

34023057640 is an abundant number, since it is smaller than the sum of its proper divisors (56138107160).

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

34023057640 is a wasteful number, since it uses less digits than its factorization.

34023057640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14987 (or 14983 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

Adding to 34023057640 its reverse (4675032043), we get a palindrome (38698089683).

The spelling of 34023057640 in words is "thirty-four billion, twenty-three million, fifty-seven thousand, six hundred forty".