34426800 has 180 divisors, whose sum is σ = 122031624. Its totient is φ = 8985600.

The previous prime is 34426793. The next prime is 34426807. The reversal of 34426800 is 862443.

It is an interprime number because it is at equal distance from previous prime (34426793) and next prime (34426807).

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (34426807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262735 + ... + 262865.

Almost surely, 2^34426800 is an apocalyptic number.

34426800 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 34426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61015812).

34426800 is an abundant number, since it is smaller than the sum of its proper divisors (87604824).

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

34426800 is a wasteful number, since it uses less digits than its factorization.

34426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34426800 is about 5867.4355556751. The cubic root of 34426800 is about 325.3111025002.

The spelling of 34426800 in words is "thirty-four million, four hundred twenty-six thousand, eight hundred".