3436541260500 has 96 divisors (see below), whose sum is σ = 10016419166208. Its totient is φ = 915567504000.

The previous prime is 3436541260489. The next prime is 3436541260501. The reversal of 3436541260500 is 50621456343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436541260501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576670 + ... + 2684330.

It is an arithmetic number, because the mean of its divisors is an integer number (104337699648).

Almost surely, 2^{3436541260500} is an apocalyptic number.

3436541260500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3436541260500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008209583104).

3436541260500 is an abundant number, since it is smaller than the sum of its proper divisors (6579877905708).

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

3436541260500 is a wasteful number, since it uses less digits than its factorization.

3436541260500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108770 (or 2108758 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 3436541260500 in words is "three trillion, four hundred thirty-six billion, five hundred forty-one million, two hundred sixty thousand, five hundred".