34223534400 has 168 divisors, whose sum is σ = 122489329824. Its totient is φ = 8296601600.

The previous prime is 34223534399. The next prime is 34223534431. The reversal of 34223534400 is 443532243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271287 + ... + 376886.

Almost surely, 2^34223534400 is an apocalyptic number.

34223534400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34223534400 is an abundant number, since it is smaller than the sum of its proper divisors (88265795424).

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

34223534400 is a wasteful number, since it uses less digits than its factorization.

34223534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648209 (or 648194 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The spelling of 34223534400 in words is "thirty-four billion, two hundred twenty-three million, five hundred thirty-four thousand, four hundred".