34040656260 has 144 divisors (see below), whose sum is σ = 111277193664. Its totient is φ = 8373383424.

The previous prime is 34040656219. The next prime is 34040656289. The reversal of 34040656260 is 6265604043.

34040656260 is a `hidden beast` number, since 34 + 0 + 4 + 0 + 6 + 562 + 60 = 666.

It is a super-2 number, since 2×34040656260² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4027599 + ... + 4036041.

Almost surely, 2^34040656260 is an apocalyptic number.

34040656260 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 34040656260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55638596832).

34040656260 is an abundant number, since it is smaller than the sum of its proper divisors (77236537404).

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

34040656260 is a wasteful number, since it uses less digits than its factorization.

34040656260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10194 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34040656260 in words is "thirty-four billion, forty million, six hundred fifty-six thousand, two hundred sixty".