34032544000 has 864 divisors, whose sum is σ = 112036055040. Its totient is φ = 10063872000.

The previous prime is 34032543997. The next prime is 34032544003. The reversal of 34032544000 is 44523043.

It is an interprime number because it is at equal distance from previous prime (34032543997) and next prime (34032544003).

It is a super-2 number, since 2×34032544000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34032544003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1097823985 + ... + 1097824015.

It is an arithmetic number, because the mean of its divisors is an integer number (129671360).

Almost surely, 2^34032544000 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 34032544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56018027520).

34032544000 is an abundant number, since it is smaller than the sum of its proper divisors (78003511040).

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

34032544000 is a wasteful number, since it uses less digits than its factorization.

34032544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

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

The spelling of 34032544000 in words is "thirty-four billion, thirty-two million, five hundred forty-four thousand".