34013026260 has 72 divisors (see below), whose sum is σ = 105961322376. Its totient is φ = 8824999680.

The previous prime is 34013026259. The next prime is 34013026261. The reversal of 34013026260 is 6262031043.

34013026260 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 30 + 2 + 626 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34013026259) and next prime (34013026261).

It can be written as a sum of positive squares in 4 ways, for example, as 12753636624 + 21259389636 = 112932^2 + 145806^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013026261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2546871 + ... + 2560190.

It is an arithmetic number, because the mean of its divisors is an integer number (1471685033).

Almost surely, 2^34013026260 is an apocalyptic number.

34013026260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34013026260 is an abundant number, since it is smaller than the sum of its proper divisors (71948296116).

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

34013026260 is a wasteful number, since it uses less digits than its factorization.

34013026260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107113 (or 5107108 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 34013026260 in words is "thirty-four billion, thirteen million, twenty-six thousand, two hundred sixty".