34205025540 has 48 divisors (see below), whose sum is σ = 109456083072. Its totient is φ = 7818291456.

The previous prime is 34205025497. The next prime is 34205025541. The reversal of 34205025540 is 4552050243.

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 = 34205025498 and 34205025507.

It is not an unprimeable number, because it can be changed into a prime (34205025541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40719849 + ... + 40720688.

It is an arithmetic number, because the mean of its divisors is an integer number (2280335064).

Almost surely, 2^34205025540 is an apocalyptic number.

34205025540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34205025540 is an abundant number, since it is smaller than the sum of its proper divisors (75251057532).

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

34205025540 is a wasteful number, since it uses less digits than its factorization.

34205025540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81440556 (or 81440554 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 34205025540 its reverse (4552050243), we get a palindrome (38757075783).

The spelling of 34205025540 in words is "thirty-four billion, two hundred five million, twenty-five thousand, five hundred forty".