34672300800 has 216 divisors, whose sum is σ = 115611673296. Its totient is φ = 9150136320.

The previous prime is 34672300799. The next prime is 34672300801. The reversal of 34672300800 is 800327643.

It is an interprime number because it is at equal distance from previous prime (34672300799) and next prime (34672300801).

It is not an unprimeable number, because it can be changed into a prime (34672300801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1853092 + ... + 1871708.

Almost surely, 2^34672300800 is an apocalyptic number.

34672300800 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 34672300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57805836648).

34672300800 is an abundant number, since it is smaller than the sum of its proper divisors (80939372496).

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

34672300800 is a wasteful number, since it uses less digits than its factorization.

34672300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18743 (or 18724 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 34672300800 in words is "thirty-four billion, six hundred seventy-two million, three hundred thousand, eight hundred".