34226958720 has 512 divisors, whose sum is σ = 121228876800. Its totient is φ = 8197668864.

The previous prime is 34226958691. The next prime is 34226958749. The reversal of 34226958720 is 2785962243.

It is an interprime number because it is at equal distance from previous prime (34226958691) and next prime (34226958749).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34226958720.

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 63 ways as a sum of consecutive naturals, for example, 302893384 + ... + 302893496.

It is an arithmetic number, because the mean of its divisors is an integer number (236775150).

Almost surely, 2^34226958720 is an apocalyptic number.

34226958720 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 34226958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60614438400).

34226958720 is an abundant number, since it is smaller than the sum of its proper divisors (87001918080).

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

34226958720 is a wasteful number, since it uses less digits than its factorization.

34226958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 34226958720 in words is "thirty-four billion, two hundred twenty-six million, nine hundred fifty-eight thousand, seven hundred twenty".