34250400 has 216 divisors, whose sum is σ = 124304544. Its totient is φ = 8870400.

The previous prime is 34250399. The next prime is 34250431. The reversal of 34250400 is 405243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 482365 + ... + 482435.

It is an arithmetic number, because the mean of its divisors is an integer number (575484).

Almost surely, 2^34250400 is an apocalyptic number.

34250400 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 34250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62152272).

34250400 is an abundant number, since it is smaller than the sum of its proper divisors (90054144).

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

34250400 is a wasteful number, since it uses less digits than its factorization.

34250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34250400 is about 5852.3841295663. The cubic root of 34250400 is about 324.7545286470.

Adding to 34250400 its reverse (405243), we get a palindrome (34655643).

The spelling of 34250400 in words is "thirty-four million, two hundred fifty thousand, four hundred".