34013242260 has 144 divisors (see below), whose sum is σ = 108374273280. Its totient is φ = 8618227200.

The previous prime is 34013242247. The next prime is 34013242273. The reversal of 34013242260 is 6224231043.

34013242260 is a `hidden beast` number, since 3 + 401 + 32 + 4 + 226 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34013242247) and next prime (34013242273).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597936 + ... + 652344.

It is an arithmetic number, because the mean of its divisors is an integer number (752599120).

Almost surely, 2^34013242260 is an apocalyptic number.

34013242260 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 34013242260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54187136640).

34013242260 is an abundant number, since it is smaller than the sum of its proper divisors (74361031020).

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

34013242260 is a wasteful number, since it uses less digits than its factorization.

34013242260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54598 (or 54593 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 34013242260 in words is "thirty-four billion, thirteen million, two hundred forty-two thousand, two hundred sixty".