34185272000 has 224 divisors, whose sum is σ = 92663101440. Its totient is φ = 12389760000.

The previous prime is 34185271999. The next prime is 34185272057. The reversal of 34185272000 is 27258143.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 42151595 + ... + 42152405.

It is an arithmetic number, because the mean of its divisors is an integer number (413674560).

Almost surely, 2^34185272000 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 34185272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46331550720).

34185272000 is an abundant number, since it is smaller than the sum of its proper divisors (58477829440).

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

34185272000 is a wasteful number, since it uses less digits than its factorization.

34185272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 34185272000 in words is "thirty-four billion, one hundred eighty-five million, two hundred seventy-two thousand".