34104000 has 336 divisors, whose sum is σ = 135514080. Its totient is φ = 7526400.

The previous prime is 34103983. The next prime is 34104013. The reversal of 34104000 is 40143.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175986 + ... + 1176014.

Almost surely, 2^34104000 is an apocalyptic number.

34104000 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 34104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67757040).

34104000 is an abundant number, since it is smaller than the sum of its proper divisors (101410080).

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

34104000 is a wasteful number, since it uses less digits than its factorization.

34104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34104000 is about 5839.8630120920. The cubic root of 34104000 is about 324.2911572689.

Adding to 34104000 its reverse (40143), we get a palindrome (34144143).

The spelling of 34104000 in words is "thirty-four million, one hundred four thousand".