34368364800 has 1944 divisors, whose sum is σ = 165649210272. Its totient is φ = 6967296000.

The previous prime is 34368364781. The next prime is 34368364819. The reversal of 34368364800 is 846386343.

34368364800 is a `hidden beast` number, since 3 + 436 + 83 + 64 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34368364781) and next prime (34368364819).

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 838252780 + ... + 838252820.

Almost surely, 2^34368364800 is an apocalyptic number.

34368364800 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 34368364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82824605136).

34368364800 is an abundant number, since it is smaller than the sum of its proper divisors (131280845472).

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

34368364800 is a wasteful number, since it uses less digits than its factorization.

34368364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 34368364800 in words is "thirty-four billion, three hundred sixty-eight million, three hundred sixty-four thousand, eight hundred".