34404000 has 192 divisors, whose sum is σ = 116992512. Its totient is φ = 8832000.

The previous prime is 34403983. The next prime is 34404001. The reversal of 34404000 is 40443.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (34404001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563970 + ... + 564030.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^34404000 is an apocalyptic number.

34404000 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 34404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58496256).

34404000 is an abundant number, since it is smaller than the sum of its proper divisors (82588512).

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

34404000 is a wasteful number, since it uses less digits than its factorization.

34404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34404000 is about 5865.4923067037. The cubic root of 34404000 is about 325.2392715320.

Adding to 34404000 its reverse (40443), we get a palindrome (34444443).

The spelling of 34404000 in words is "thirty-four million, four hundred four thousand".