34375000 has 72 divisors (see below), whose sum is σ = 87890580. Its totient is φ = 12500000.

The previous prime is 34374983. The next prime is 34375007. The reversal of 34375000 is 57343.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34375007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3124995 + ... + 3125005.

Almost surely, 2^34375000 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 34375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43945290).

34375000 is an abundant number, since it is smaller than the sum of its proper divisors (53515580).

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

34375000 is an frugal number, since it uses more digits than its factorization.

34375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 34375000 is about 5863.0196997793. The cubic root of 34375000 is about 325.1478617128.

Multiplying 34375000 by its sum of digits (22), we get a square (756250000 = 27500²).

34375000 divided by its sum of digits (22) gives a square (1562500 = 1250²).

The spelling of 34375000 in words is "thirty-four million, three hundred seventy-five thousand".