34064256000 has 352 divisors, whose sum is σ = 116001819648. Its totient is φ = 8868249600.

The previous prime is 34064255999. The next prime is 34064256011. The reversal of 34064256000 is 65246043.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16510969 + ... + 16513031.

It is an arithmetic number, because the mean of its divisors is an integer number (329550624).

Almost surely, 2^34064256000 is an apocalyptic number.

34064256000 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 34064256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58000909824).

34064256000 is an abundant number, since it is smaller than the sum of its proper divisors (81937563648).

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

34064256000 is a wasteful number, since it uses less digits than its factorization.

34064256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 34064256000 in words is "thirty-four billion, sixty-four million, two hundred fifty-six thousand".