34125000 has 224 divisors, whose sum is σ = 131248320. Its totient is φ = 7200000.

The previous prime is 34124977. The next prime is 34125053. The reversal of 34125000 is 52143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2624994 + ... + 2625006.

It is an arithmetic number, because the mean of its divisors is an integer number (585930).

Almost surely, 2^34125000 is an apocalyptic number.

34125000 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 34125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65624160).

34125000 is an abundant number, since it is smaller than the sum of its proper divisors (97123320).

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

34125000 is an equidigital number, since it uses as much as digits as its factorization.

34125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 34125000 is about 5841.6607227740. The cubic root of 34125000 is about 324.3577058358.

Adding to 34125000 its reverse (52143), we get a palindrome (34177143).

The spelling of 34125000 in words is "thirty-four million, one hundred twenty-five thousand".