34786140500 has 108 divisors (see below), whose sum is σ = 80365020372. Its totient is φ = 13152088800.

The previous prime is 34786140439. The next prime is 34786140517. The reversal of 34786140500 is 504168743.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1113156496 + 33672984004 = 33364^2 + 183502^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79239281 + ... + 79239719.

It is an arithmetic number, because the mean of its divisors is an integer number (744120559).

Almost surely, 2^34786140500 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 34786140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40182510186).

34786140500 is an abundant number, since it is smaller than the sum of its proper divisors (45578879872).

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

34786140500 is an equidigital number, since it uses as much as digits as its factorization.

34786140500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 34786140500 in words is "thirty-four billion, seven hundred eighty-six million, one hundred forty thousand, five hundred".