34025253032540 has 192 divisors, whose sum is σ = 89835598153728. Its totient is φ = 10516086144000.

The previous prime is 34025253032527. The next prime is 34025253032549. The reversal of 34025253032540 is 4523035252043.

It is a junction number, because it is equal to n+sod(n) for n = 34025253032494 and 34025253032503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34025253032549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129393434 + ... + 129656126.

It is an arithmetic number, because the mean of its divisors is an integer number (467893740384).

Almost surely, 2^{34025253032540} 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 34025253032540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44917799076864).

34025253032540 is an abundant number, since it is smaller than the sum of its proper divisors (55810345121188).

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

34025253032540 is a wasteful number, since it uses less digits than its factorization.

34025253032540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263428 (or 263426 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 38.

Adding to 34025253032540 its reverse (4523035252043), we get a palindrome (38548288284583).

The spelling of 34025253032540 in words is "thirty-four trillion, twenty-five billion, two hundred fifty-three million, thirty-two thousand, five hundred forty".