34488400 has 60 divisors (see below), whose sum is σ = 83553184. Its totient is φ = 13680000.

The previous prime is 34488397. The next prime is 34488457. The reversal of 34488400 is 488443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60115 + ... + 60685.

Almost surely, 2^34488400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41776592).

34488400 is an abundant number, since it is smaller than the sum of its proper divisors (49064784).

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

34488400 is a wasteful number, since it uses less digits than its factorization.

34488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 34488400 is about 5872.6825216420. The cubic root of 34488400 is about 325.5050136753.

The spelling of 34488400 in words is "thirty-four million, four hundred eighty-eight thousand, four hundred".