34007840430 has 64 divisors (see below), whose sum is σ = 83599008768. Its totient is φ = 8849151360.

The previous prime is 34007840429. The next prime is 34007840507. The reversal of 34007840430 is 3404870043.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34007840391 and 34007840400.

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, 1356267 + ... + 1381113.

It is an arithmetic number, because the mean of its divisors is an integer number (1306234512).

Almost surely, 2^34007840430 is an apocalyptic number.

34007840430 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 34007840430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41799504384).

34007840430 is an abundant number, since it is smaller than the sum of its proper divisors (49591168338).

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

34007840430 is a wasteful number, since it uses less digits than its factorization.

34007840430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25961.

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 34007840430 in words is "thirty-four billion, seven million, eight hundred forty thousand, four hundred thirty".