34034400396 has 96 divisors (see below), whose sum is σ = 89993030400. Its totient is φ = 11120186880.

The previous prime is 34034400353. The next prime is 34034400403. The reversal of 34034400396 is 69300443043.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34034400396.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2241751 + ... + 2256881.

It is an arithmetic number, because the mean of its divisors is an integer number (937427400).

Almost surely, 2^34034400396 is an apocalyptic number.

34034400396 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 34034400396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44996515200).

34034400396 is an abundant number, since it is smaller than the sum of its proper divisors (55958630004).

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

34034400396 is a wasteful number, since it uses less digits than its factorization.

34034400396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15556 (or 15548 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 34034400396 in words is "thirty-four billion, thirty-four million, four hundred thousand, three hundred ninety-six".