345635500540 has 144 divisors (see below), whose sum is σ = 818506838016. Its totient is φ = 122450866560.

The previous prime is 345635500517. The next prime is 345635500543. The reversal of 345635500540 is 45005536543.

It is a junction number, because it is equal to n+sod(n) for n = 345635500493 and 345635500502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345635500543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25357207 + ... + 25370833.

It is an arithmetic number, because the mean of its divisors is an integer number (5684075264).

Almost surely, 2^345635500540 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 345635500540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409253419008).

345635500540 is an abundant number, since it is smaller than the sum of its proper divisors (472871337476).

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

345635500540 is a wasteful number, since it uses less digits than its factorization.

345635500540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13915 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

The spelling of 345635500540 in words is "three hundred forty-five billion, six hundred thirty-five million, five hundred thousand, five hundred forty".