34216894800 has 1200 divisors, whose sum is σ = 146458245120. Its totient is φ = 7558272000.

The previous prime is 34216894793. The next prime is 34216894853. The reversal of 34216894800 is 849861243.

It is a happy number.

34216894800 is a `hidden beast` number, since 3 + 4 + 2 + 168 + 9 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 209919519 + ... + 209919681.

Almost surely, 2^34216894800 is an apocalyptic number.

34216894800 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 34216894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73229122560).

34216894800 is an abundant number, since it is smaller than the sum of its proper divisors (112241350320).

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

34216894800 is a wasteful number, since it uses less digits than its factorization.

34216894800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 34216894800 in words is "thirty-four billion, two hundred sixteen million, eight hundred ninety-four thousand, eight hundred".