34026242010 has 128 divisors (see below), whose sum is σ = 87850137600. Its totient is φ = 8415375360.

The previous prime is 34026241987. The next prime is 34026242011. The reversal of 34026242010 is 1024262043.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34026242011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3690286 + ... + 3699494.

It is an arithmetic number, because the mean of its divisors is an integer number (686329200).

Almost surely, 2^34026242010 is an apocalyptic number.

34026242010 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 34026242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43925068800).

34026242010 is an abundant number, since it is smaller than the sum of its proper divisors (53823895590).

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

34026242010 is a wasteful number, since it uses less digits than its factorization.

34026242010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9416.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 34026242010 in words is "thirty-four billion, twenty-six million, two hundred forty-two thousand, ten".