34454400 has 192 divisors, whose sum is σ = 117752880. Its totient is φ = 8847360.

The previous prime is 34454389. The next prime is 34454417. The reversal of 34454400 is 445443.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355152 + ... + 355248.

Almost surely, 2^34454400 is an apocalyptic number.

34454400 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 34454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58876440).

34454400 is an abundant number, since it is smaller than the sum of its proper divisors (83298480).

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

34454400 is a wasteful number, since it uses less digits than its factorization.

34454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 34454400 is about 5869.7870489482. The cubic root of 34454400 is about 325.3980133576.

Adding to 34454400 its reverse (445443), we get a palindrome (34899843).

The spelling of 34454400 in words is "thirty-four million, four hundred fifty-four thousand, four hundred".