34318206720 has 432 divisors, whose sum is σ = 137443138560. Its totient is φ = 7743430656.

The previous prime is 34318206709. The next prime is 34318206757. The reversal of 34318206720 is 2760281343.

It is a happy number.

It is a super-3 number, since 3×34318206720³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6367867 + ... + 6373253.

Almost surely, 2^34318206720 is an apocalyptic number.

34318206720 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 34318206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68721569280).

34318206720 is an abundant number, since it is smaller than the sum of its proper divisors (103124931840).

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

34318206720 is a wasteful number, since it uses less digits than its factorization.

34318206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34318206720 in words is "thirty-four billion, three hundred eighteen million, two hundred six thousand, seven hundred twenty".