34005096 has 80 divisors (see below), whose sum is σ = 96405540. Its totient is φ = 11197440.

The previous prime is 34005077. The next prime is 34005137. The reversal of 34005096 is 69050043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33802596 + 202500 = 5814^2 + 450^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62586 + ... + 63126.

Almost surely, 2^34005096 is an apocalyptic number.

34005096 is a gapful number since it is divisible by the number (36) 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 34005096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48202770).

34005096 is an abundant number, since it is smaller than the sum of its proper divisors (62400444).

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

34005096 is a wasteful number, since it uses less digits than its factorization.

34005096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34005096 is about 5831.3888568676. The cubic root of 34005096 is about 323.9773646738.

The spelling of 34005096 in words is "thirty-four million, five thousand, ninety-six".