34222869824400 has 240 divisors, whose sum is σ = 121813163637120. Its totient is φ = 9125716723200.

The previous prime is 34222869824383. The next prime is 34222869824461. The reversal of 34222869824400 is 442896822243.

34222869824400 is a `hidden beast` number, since 3 + 4 + 2 + 228 + 6 + 9 + 8 + 2 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337676134 + ... + 337777466.

It is an arithmetic number, because the mean of its divisors is an integer number (507554848488).

Almost surely, 2^{34222869824400} is an apocalyptic number.

34222869824400 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 34222869824400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60906581818560).

34222869824400 is an abundant number, since it is smaller than the sum of its proper divisors (87590293812720).

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

34222869824400 is a wasteful number, since it uses less digits than its factorization.

34222869824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132631 (or 132614 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 34222869824400 in words is "thirty-four trillion, two hundred twenty-two billion, eight hundred sixty-nine million, eight hundred twenty-four thousand, four hundred".