34860000 has 240 divisors, whose sum is σ = 132257664. Its totient is φ = 7872000.

The previous prime is 34859999. The next prime is 34860037. The reversal of 34860000 is 6843.

34860000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 419959 + ... + 420041.

Almost surely, 2^34860000 is an apocalyptic number.

34860000 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 34860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66128832).

34860000 is an abundant number, since it is smaller than the sum of its proper divisors (97397664).

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

34860000 is an equidigital number, since it uses as much as digits as its factorization.

34860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34860000 is about 5904.2357676502. The cubic root of 34860000 is about 326.6699060255.

Adding to 34860000 its reverse (6843), we get a palindrome (34866843).

The spelling of 34860000 in words is "thirty-four million, eight hundred sixty thousand".