34360128000 has 1440 divisors, whose sum is σ = 149000932080. Its totient is φ = 7569408000.

The previous prime is 34360127993. The next prime is 34360128001. The reversal of 34360128000 is 82106343.

It is a happy number.

34360128000 is a `hidden beast` number, since 34 + 3 + 601 + 28 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3816274176 + 30543853824 = 61776^2 + 174768^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (34360128001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1184831986 + ... + 1184832014.

Almost surely, 2^34360128000 is an apocalyptic number.

34360128000 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 34360128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74500466040).

34360128000 is an abundant number, since it is smaller than the sum of its proper divisors (114640804080).

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

34360128000 is a wasteful number, since it uses less digits than its factorization.

34360128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 34360128000 in words is "thirty-four billion, three hundred sixty million, one hundred twenty-eight thousand".