34194255872000 has 1536 divisors, whose sum is σ = 108178601431680. Its totient is φ = 10531897344000.

The previous prime is 34194255871999. The next prime is 34194255872003. The reversal of 34194255872000 is 27855249143.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 34194255872000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34194255872003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468414463964 + ... + 468414464036.

Almost surely, 2^{34194255872000} 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 34194255872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54089300715840).

34194255872000 is an abundant number, since it is smaller than the sum of its proper divisors (73984345559680).

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

34194255872000 is an frugal number, since it uses more digits than its factorization.

34194255872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 34194255872000 in words is "thirty-four trillion, one hundred ninety-four billion, two hundred fifty-five million, eight hundred seventy-two thousand".