34876000 has 48 divisors (see below), whose sum is σ = 85700160. Its totient is φ = 13948800.

The previous prime is 34875991. The next prime is 34876003. The reversal of 34876000 is 67843.

It is a self number, because there is not a number n which added to its sum of digits gives 34876000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34876003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360 + ... + 8359.

It is an arithmetic number, because the mean of its divisors is an integer number (1785420).

Almost surely, 2^34876000 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 34876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42850080).

34876000 is an abundant number, since it is smaller than the sum of its proper divisors (50824160).

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

34876000 is an equidigital number, since it uses as much as digits as its factorization.

34876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 34876000 is about 5905.5905716533. The cubic root of 34876000 is about 326.7198765653.

The spelling of 34876000 in words is "thirty-four million, eight hundred seventy-six thousand".