34448400 has 180 divisors, whose sum is σ = 136723392. Its totient is φ = 7868160.

The previous prime is 34448399. The next prime is 34448413. The reversal of 34448400 is 484443.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24517 + ... + 25883.

Almost surely, 2^34448400 is an apocalyptic number.

34448400 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 34448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68361696).

34448400 is an abundant number, since it is smaller than the sum of its proper divisors (102274992).

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

34448400 is a wasteful number, since it uses less digits than its factorization.

34448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34448400 is about 5869.2759349003. The cubic root of 34448400 is about 325.3791236423.

The spelling of 34448400 in words is "thirty-four million, four hundred forty-eight thousand, four hundred".