34434052000 has 144 divisors (see below), whose sum is σ = 86097545352. Its totient is φ = 13534694400.

The previous prime is 34434051919. The next prime is 34434052021. The reversal of 34434052000 is 25043443.

It can be written as a sum of positive squares in 4 ways, for example, as 14316601104 + 20117450896 = 119652^2 + 141836^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13922764 + ... + 13925236.

Almost surely, 2^34434052000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34434052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43048772676).

34434052000 is an abundant number, since it is smaller than the sum of its proper divisors (51663493352).

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

34434052000 is an equidigital number, since it uses as much as digits as its factorization.

34434052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 34434052000 its reverse (25043443), we get a palindrome (34459095443).

The spelling of 34434052000 in words is "thirty-four billion, four hundred thirty-four million, fifty-two thousand".