34008099840 has 792 divisors, whose sum is σ = 139549361328. Its totient is φ = 7591034880.

The previous prime is 34008099823. The next prime is 34008099859. The reversal of 34008099840 is 4899080043.

It is a happy number.

34008099840 is a `hidden beast` number, since 3 + 400 + 80 + 99 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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 71 ways as a sum of consecutive naturals, for example, 85662522 + ... + 85662918.

Almost surely, 2^34008099840 is an apocalyptic number.

34008099840 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 34008099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69774680664).

34008099840 is an abundant number, since it is smaller than the sum of its proper divisors (105541261488).

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

34008099840 is a wasteful number, since it uses less digits than its factorization.

34008099840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 34008099840 in words is "thirty-four billion, eight million, ninety-nine thousand, eight hundred forty".