34220192160 has 768 divisors, whose sum is σ = 143909498880. Its totient is φ = 6616842240.

The previous prime is 34220192147. The next prime is 34220192191. The reversal of 34220192160 is 6129102243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67229986 + ... + 67230494.

It is an arithmetic number, because the mean of its divisors is an integer number (187382160).

Almost surely, 2^34220192160 is an apocalyptic number.

34220192160 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 34220192160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71954749440).

34220192160 is an abundant number, since it is smaller than the sum of its proper divisors (109689306720).

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

34220192160 is a wasteful number, since it uses less digits than its factorization.

34220192160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 34220192160 in words is "thirty-four billion, two hundred twenty million, one hundred ninety-two thousand, one hundred sixty".