34821900 has 108 divisors (see below), whose sum is σ = 113268792. Its totient is φ = 9279360.

The previous prime is 34821883. The next prime is 34821929. The reversal of 34821900 is 912843.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×34821900² = 2425129439220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 23584 + ... + 25016.

Almost surely, 2^34821900 is an apocalyptic number.

34821900 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 34821900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56634396).

34821900 is an abundant number, since it is smaller than the sum of its proper divisors (78446892).

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

34821900 is a wasteful number, since it uses less digits than its factorization.

34821900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 34821900 is about 5901.0083884028. The cubic root of 34821900 is about 326.5508520910.

It can be divided in two parts, 34821 and 900, that added together give a square (35721 = 189²).

The spelling of 34821900 in words is "thirty-four million, eight hundred twenty-one thousand, nine hundred".