34080000 has 180 divisors, whose sum is σ = 114938208. Its totient is φ = 8960000.

The previous prime is 34079971. The next prime is 34080001. The reversal of 34080000 is 8043.

It is a super-2 number, since 2×34080000² = 2322892800000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34080001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479965 + ... + 480035.

Almost surely, 2^34080000 is an apocalyptic number.

34080000 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 34080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57469104).

34080000 is an abundant number, since it is smaller than the sum of its proper divisors (80858208).

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

34080000 is an frugal number, since it uses more digits than its factorization.

34080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34080000 is about 5837.8078077306. The cubic root of 34080000 is about 324.2150683039.

Adding to 34080000 its reverse (8043), we get a palindrome (34088043).

The spelling of 34080000 in words is "thirty-four million, eighty thousand".