34344520000 has 280 divisors, whose sum is σ = 101580183936. Its totient is φ = 11261184000.

The previous prime is 34344519967. The next prime is 34344520009. The reversal of 34344520000 is 2544343.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344520009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6437334 + ... + 6442666.

Almost surely, 2^34344520000 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 34344520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50790091968).

34344520000 is an abundant number, since it is smaller than the sum of its proper divisors (67235663936).

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

34344520000 is an equidigital number, since it uses as much as digits as its factorization.

34344520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5370 counting only the distinct ones).

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

The spelling of 34344520000 in words is "thirty-four billion, three hundred forty-four million, five hundred twenty thousand".