34880122368 has 960 divisors, whose sum is σ = 137539321920. Its totient is φ = 8620867584.

The previous prime is 34880122363. The next prime is 34880122373. The reversal of 34880122368 is 86322108843.

34880122368 is a `hidden beast` number, since 348 + 80 + 1 + 223 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34880122363) and next prime (34880122373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34880122363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149699980 + ... + 149700212.

It is an arithmetic number, because the mean of its divisors is an integer number (143270127).

Almost surely, 2^34880122368 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 34880122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68769660960).

34880122368 is an abundant number, since it is smaller than the sum of its proper divisors (102659199552).

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

34880122368 is a wasteful number, since it uses less digits than its factorization.

34880122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 34880122368 in words is "thirty-four billion, eight hundred eighty million, one hundred twenty-two thousand, three hundred sixty-eight".