34800000 has 192 divisors, whose sum is σ = 119523600. Its totient is φ = 8960000.

The previous prime is 34799981. The next prime is 34800043. The reversal of 34800000 is 843.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×34800000² = 2422080000000000, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199986 + ... + 1200014.

Almost surely, 2^34800000 is an apocalyptic number.

34800000 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 34800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761800).

34800000 is an abundant number, since it is smaller than the sum of its proper divisors (84723600).

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

34800000 is an frugal number, since it uses more digits than its factorization.

34800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

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

The square root of 34800000 is about 5899.1524815011. The cubic root of 34800000 is about 326.4823802059.

Adding to 34800000 its reverse (843), we get a palindrome (34800843).

The spelling of 34800000 in words is "thirty-four million, eight hundred thousand".