34004410320 has 160 divisors (see below), whose sum is σ = 109345180032. Its totient is φ = 8735440896.

The previous prime is 34004410309. The next prime is 34004410337. The reversal of 34004410320 is 2301440043.

It is a congruent number.

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, 730792 + ... + 775928.

Almost surely, 2^34004410320 is an apocalyptic number.

34004410320 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 34004410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54672590016).

34004410320 is an abundant number, since it is smaller than the sum of its proper divisors (75340769712).

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

34004410320 is a wasteful number, since it uses less digits than its factorization.

34004410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45269 (or 45263 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34004410320 its reverse (2301440043), we get a palindrome (36305850363).

The spelling of 34004410320 in words is "thirty-four billion, four million, four hundred ten thousand, three hundred twenty".