34009032000 has 224 divisors, whose sum is σ = 112960733184. Its totient is φ = 9015552000.

The previous prime is 34009031977. The next prime is 34009032011. The reversal of 34009032000 is 23090043.

It is a super-2 number, since 2×34009032000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 4147905 + ... + 4156095.

Almost surely, 2^34009032000 is an apocalyptic number.

34009032000 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 34009032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56480366592).

34009032000 is an abundant number, since it is smaller than the sum of its proper divisors (78951701184).

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

34009032000 is a wasteful number, since it uses less digits than its factorization.

34009032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The spelling of 34009032000 in words is "thirty-four billion, nine million, thirty-two thousand".