34254241080 has 128 divisors (see below), whose sum is σ = 105371642880. Its totient is φ = 8904128000.

The previous prime is 34254241079. The next prime is 34254241081. The reversal of 34254241080 is 8014245243.

It is an interprime number because it is at equal distance from previous prime (34254241079) and next prime (34254241081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34254241081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403542 + ... + 1427738.

It is an arithmetic number, because the mean of its divisors is an integer number (823215960).

Almost surely, 2^34254241080 is an apocalyptic number.

34254241080 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 34254241080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52685821440).

34254241080 is an abundant number, since it is smaller than the sum of its proper divisors (71117401800).

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

34254241080 is a wasteful number, since it uses less digits than its factorization.

34254241080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24509 (or 24505 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 34254241080 in words is "thirty-four billion, two hundred fifty-four million, two hundred forty-one thousand, eighty".