34086666240 has 600 divisors, whose sum is σ = 133598136672. Its totient is φ = 8245739520.

The previous prime is 34086666217. The next prime is 34086666247. The reversal of 34086666240 is 4266668043.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34086666247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72990487 + ... + 72990953.

Almost surely, 2^34086666240 is an apocalyptic number.

34086666240 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 34086666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66799068336).

34086666240 is an abundant number, since it is smaller than the sum of its proper divisors (99511470432).

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

34086666240 is an equidigital number, since it uses as much as digits as its factorization.

34086666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 34086666240 in words is "thirty-four billion, eighty-six million, six hundred sixty-six thousand, two hundred forty".