34112668590 has 1152 divisors, whose sum is σ = 133383283200. Its totient is φ = 6113802240.

The previous prime is 34112668589. The next prime is 34112668619. The reversal of 34112668590 is 9586621143.

34112668590 is a `hidden beast` number, since 3 + 41 + 12 + 6 + 6 + 8 + 590 = 666.

It is a super-3 number, since 3×34112668590³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 467296794 + ... + 467296866.

It is an arithmetic number, because the mean of its divisors is an integer number (115784100).

Almost surely, 2^34112668590 is an apocalyptic number.

34112668590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34112668590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66691641600).

34112668590 is an abundant number, since it is smaller than the sum of its proper divisors (99270614610).

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

34112668590 is a wasteful number, since it uses less digits than its factorization.

34112668590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 34112668590 in words is "thirty-four billion, one hundred twelve million, six hundred sixty-eight thousand, five hundred ninety".