34382250 has 192 divisors, whose sum is σ = 110972160. Its totient is φ = 7516800.

The previous prime is 34382237. The next prime is 34382251. The reversal of 34382250 is 5228343.

34382250 is a `hidden beast` number, since 3 + 438 + 225 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (34382251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582721 + ... + 582779.

It is an arithmetic number, because the mean of its divisors is an integer number (577980).

Almost surely, 2^34382250 is an apocalyptic number.

34382250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34382250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55486080).

34382250 is an abundant number, since it is smaller than the sum of its proper divisors (76589910).

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

34382250 is a wasteful number, since it uses less digits than its factorization.

34382250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34382250 is about 5863.6379492598. The cubic root of 34382250 is about 325.1707189860.

The spelling of 34382250 in words is "thirty-four million, three hundred eighty-two thousand, two hundred fifty".