34678000 has 80 divisors (see below), whose sum is σ = 95868864. Its totient is φ = 11884800.

The previous prime is 34677961. The next prime is 34678013. The reversal of 34678000 is 87643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34678000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12762 + ... + 15238.

Almost surely, 2^34678000 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 34678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47934432).

34678000 is an abundant number, since it is smaller than the sum of its proper divisors (61190864).

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

34678000 is a wasteful number, since it uses less digits than its factorization.

34678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2491 counting only the distinct ones).

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

The square root of 34678000 is about 5888.8029343832. The cubic root of 34678000 is about 326.1004119408.

The spelling of 34678000 in words is "thirty-four million, six hundred seventy-eight thousand".