34012446720 has 480 divisors, whose sum is σ = 131814563328. Its totient is φ = 7310671872.

The previous prime is 34012446697. The next prime is 34012446821. The reversal of 34012446720 is 2764421043.

It is a tau number, because it is divible by the number of its divisors (480).

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, 29244859 + ... + 29246021.

Almost surely, 2^34012446720 is an apocalyptic number.

34012446720 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 34012446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65907281664).

34012446720 is an abundant number, since it is smaller than the sum of its proper divisors (97802116608).

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

34012446720 is a wasteful number, since it uses less digits than its factorization.

34012446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1197 counting only the distinct ones).

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

Adding to 34012446720 its reverse (2764421043), we get a palindrome (36776867763).

The spelling of 34012446720 in words is "thirty-four billion, twelve million, four hundred forty-six thousand, seven hundred twenty".